Position 1A. This was the score at which the position arose: Black needs 6, White needs 1, post Crawford. Incidentally, White made the best play with his third roll 21 at this score.
Over the board, I played my 61 quickly. I saw White's 9pt builder and played 13/7 to duplicate 4s. Then I quickly played 24/23. Soon after I picked up my dice, I wished I had taken the time to consider 6/5.
I am posting the rollout results of this position at five scores. Notice that the two best very different plays are tied at money, DMP and GS. I am posting the rollout result of the variation at only one score: money.
  White is shimohei
score: 8 pip: 159  9 point match  pip: 161 score: 3
Blue is peever  
XGID=bBDBdEaceB:1:1:1:61:3:8:0:9:10 
Blue to play 61 
1.  Rollout^{1}  13/7 6/5  eq: +0.200 
 Player: Opponent:  51.41% (G:13.80% B:0.39%) 48.59% (G:16.62% B:2.45%)  Conf.: ± 0.011 (+0.189...+0.210)  [99.4%] Duration: 7 minutes 44 seconds 

2.  Rollout^{1}  24/23 13/7  eq: +0.182 (0.018) 
 Player: Opponent:  51.26% (G:12.49% B:0.40%) 48.74% (G:15.92% B:1.83%)  Conf.: ± 0.009 (+0.173...+0.191)  [0.6%] Duration: 7 minutes 15 seconds 

3.  Rollout^{1}  24/18 6/5  eq: +0.168 (0.031) 
 Player: Opponent:  50.48% (G:12.19% B:0.57%) 49.52% (G:18.57% B:2.40%)  Conf.: ± 0.010 (+0.158...+0.178)  [0.0%] Duration: 8 minutes 11 seconds 

4.  Rollout^{1}  24/23 24/18  eq: +0.146 (0.054) 
 Player: Opponent:  50.42% (G:11.02% B:0.34%) 49.58% (G:16.15% B:1.38%)  Conf.: ± 0.009 (+0.137...+0.154)  [0.0%] Duration: 7 minutes 37 seconds 


^{1} 589 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.03, MET: Kazaross XG2
Position 1B. (Money)
  White is shimohei
score: 0 pip: 159  Unlimited Game Jacoby Beaver  pip: 161 score: 0
Blue is peever  
XGID=bBDBdEaceB:0:0:1:61:0:0:3:0:10 
Blue to play 61 
1.  Rollout^{1}  24/23 13/7  eq: 0.007 
 Player: Opponent:  50.37% (G:12.80% B:0.53%) 49.63% (G:14.27% B:0.59%)  Conf.: ± 0.003 (0.009...0.004)  [68.9%] Duration: 8 hours 20 minutes 

2.  Rollout^{1}  13/7 6/5  eq: 0.008 (0.001) 
 Player: Opponent:  50.17% (G:14.17% B:0.64%) 49.83% (G:14.80% B:0.94%)  Conf.: ± 0.003 (0.010...0.005)  [31.1%] Duration: 9 hours 09 minutes 

3.  Rollout^{2}  24/23 24/18  eq: 0.026 (0.019) 
 Player: Opponent:  49.97% (G:11.29% B:0.47%) 50.03% (G:13.94% B:0.48%)  Conf.: ± 0.007 (0.033...0.018)  [0.0%] Duration: 2 hours 12 minutes 

4.  Rollout^{2}  24/18 6/5  eq: 0.043 (0.036) 
 Player: Opponent:  49.82% (G:12.18% B:0.53%) 50.18% (G:15.63% B:0.70%)  Conf.: ± 0.008 (0.051...0.035)  [0.0%] Duration: 2 hours 19 minutes 


^{1} 41472 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller
^{2} 5184 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.03
Position 1C. (DMP)
  White is shimohei
score: 0 pip: 159  1 point match  pip: 161 score: 0
Blue is peever  
XGID=bBDBdEaceB:0:0:1:61:0:0:0:1:10 
Blue to play 61 
1.  Rollout^{1}  13/7 6/5  eq: +0.005 
 Player: Opponent:  50.26% (G:16.11% B:2.14%) 49.74% (G:17.39% B:3.01%)  Conf.: ± 0.002 (+0.003...+0.007)  [69.9%] Duration: 4 hours 17 minutes 

2.  Rollout^{1}  24/23 13/7  eq: +0.004 (0.001) 
 Player: Opponent:  50.22% (G:15.65% B:1.73%) 49.78% (G:15.58% B:1.79%)  Conf.: ± 0.002 (+0.002...+0.006)  [30.1%] Duration: 3 hours 56 minutes 

3.  Rollout^{1}  24/23 24/18  eq: 0.001 (0.006) 
 Player: Opponent:  49.94% (G:13.33% B:1.41%) 50.06% (G:15.13% B:1.30%)  Conf.: ± 0.002 (0.003...+0.001)  [0.0%] Duration: 3 hours 58 minutes 

4.  Rollout^{1}  24/18 6/5  eq: 0.001 (0.007) 
 Player: Opponent:  49.93% (G:14.08% B:1.68%) 50.07% (G:18.08% B:2.25%)  Conf.: ± 0.002 (0.004...+0.001)  [0.0%] Duration: 4 hours 23 minutes 


^{1} 10368 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.03, MET: Kazaross XG2
Position 1D. (Gammon Save)
  White is shimohei
score: 0 pip: 159  2 point match Crawford  pip: 161 score: 1
Blue is peever  
XGID=bBDBdEaceB:0:0:1:61:1:0:1:2:10 
Blue to play 61 
1.  Rollout^{1}  24/23 13/7  eq: 0.289 
 Player: Opponent:  49.99% (G:16.07% B:1.76%) 50.01% (G:14.46% B:1.31%)  Conf.: ± 0.003 (0.292...0.287)  [88.0%] Duration: 3 hours 15 minutes 

2.  Rollout^{1}  13/7 6/5  eq: 0.292 (0.002) 
 Player: Opponent:  49.42% (G:15.93% B:2.16%) 50.58% (G:14.00% B:2.39%)  Conf.: ± 0.003 (0.294...0.289)  [12.0%] Duration: 3 hours 40 minutes 

3.  Rollout^{1}  24/23 24/18  eq: 0.296 (0.007) 
 Player: Opponent:  49.97% (G:13.99% B:1.42%) 50.03% (G:14.80% B:0.96%)  Conf.: ± 0.003 (0.299...0.294)  [0.0%] Duration: 3 hours 22 minutes 

4.  Rollout^{2}  24/18 6/5  eq: 0.321 (0.032) 
 Player: Opponent:  49.33% (G:14.49% B:1.96%) 50.67% (G:15.38% B:1.39%)  Conf.: ± 0.005 (0.326...0.316)  [0.0%] Duration: 55 minutes 06 seconds 


^{1} 10368 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller
^{2} 2592 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.03, MET: Kazaross XG2
Position 1E. (Gammon Go)
  White is shimohei
score: 1 pip: 159  2 point match Crawford  pip: 161 score: 0
Blue is peever  
XGID=bBDBdEaceB:0:0:1:61:0:1:1:2:10 
Blue to play 61 
1.  Rollout^{1}  13/7 6/5  eq: +0.292 
 Player: Opponent:  51.08% (G:13.51% B:1.43%) 48.92% (G:16.74% B:2.63%)  Conf.: ± 0.006 (+0.286...+0.297)  [100.0%] Duration: 38 minutes 08 seconds 

2.  Rollout^{1}  24/23 13/7  eq: +0.264 (0.028) 
 Player: Opponent:  51.17% (G:12.02% B:1.07%) 48.83% (G:16.08% B:1.68%)  Conf.: ± 0.005 (+0.259...+0.269)  [0.0%] Duration: 35 minutes 49 seconds 

3.  XG Roller++  24/18 6/5  eq: +0.225 (0.067) 
 Player: Opponent:  49.85% (G:11.40% B:0.43%) 50.15% (G:15.35% B:0.73%)  

4.  XG Roller++  24/23 24/18  eq: +0.210 (0.082) 
 Player: Opponent:  50.37% (G:10.12% B:0.32%) 49.63% (G:12.97% B:0.48%)  


^{1} 2592 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.03, MET: Kazaross XG2
Position 2. In this variation of Position 1, White has one more checker on the 8pt and one fewer on the midpoint. Although I am presenting the rollout result for money only, the reader has enough info to conclude how 61 should be played at other scores in this position.
  White is Player 2
score: 0 pip: 154  Unlimited Game Jacoby Beaver  pip: 161 score: 0
Blue is Player 1  
XGID=bBDBcEadeB:0:0:1:16:0:0:3:0:10 
Blue to play 16 
1.  Rollout^{1}  13/7 6/5  eq: 0.040 
 Player: Opponent:  49.60% (G:13.71% B:0.57%) 50.40% (G:15.48% B:1.04%)  Conf.: ± 0.015 (0.055...0.025)  [100.0%] Duration: 33 minutes 23 seconds 

2.  Rollout^{1}  24/23 13/7  eq: 0.080 (0.040) 
 Player: Opponent:  48.71% (G:12.39% B:0.52%) 51.29% (G:15.70% B:0.69%)  Conf.: ± 0.015 (0.094...0.065)  [0.0%] Duration: 30 minutes 53 seconds 

3.  Rollout^{1}  24/18 6/5  eq: 0.094 (0.054) 
 Player: Opponent:  48.94% (G:11.86% B:0.49%) 51.06% (G:17.36% B:0.75%)  Conf.: ± 0.018 (0.111...0.076)  [0.0%] Duration: 33 minutes 46 seconds 

4.  Rollout^{1}  24/23 24/18  eq: 0.108 (0.068) 
 Player: Opponent:  48.38% (G:10.57% B:0.47%) 51.62% (G:15.87% B:0.51%)  Conf.: ± 0.013 (0.121...0.095)  [0.0%] Duration: 31 minutes 42 seconds 


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.03