Both who responded went with the lift so we didn't really discuss which non lifting play would be correct but it's probably obvious to most of you that /14 is best as it leaves [66 44 33] as covers instead of just [66 55]. Also playing I imagine a minor roll is a few return shots from the bar if we are hit with [62] and just the checker being closer in general so that next turn we are more likely to get it into direct range.
With that out of the way a good question becomes what's the cube action after either play + fan? Those rollouts are below.

              
 
              
 | | White is Player 2
score: 0 pip: 45 | Unlimited Game Jacoby Beaver | pip: 116 score: 0
Blue is Player 1 | |
| XGID=-BABBBB--------a--BbBc-bg-:1:1:1:31:0:0:3:0:10 |
| Blue to play 31 |
| 1. | Rollout1 | 18/15* 15/14 | eq: +0.813 |
| Player: Opponent: | 72.54% (G:7.79% B:0.23%) 27.46% (G:12.37% B:0.04%) | Conf.: ± 0.007 (+0.806...+0.820) - [100.0%] Duration: 20.3 seconds |
|
| 2. | Rollout1 | 18/15* 2/1 | eq: +0.790 (-0.022) |
| Player: Opponent: | 70.10% (G:5.69% B:0.15%) 29.90% (G:3.25% B:0.01%) | Conf.: ± 0.007 (+0.784...+0.797) - [0.0%] Duration: 17.5 seconds |
|
| 3. | Rollout2 | 18/17 18/15* | eq: +0.777 (-0.035) |
| Player: Opponent: | 71.64% (G:7.69% B:0.22%) 28.36% (G:12.24% B:0.05%) | Conf.: ± 0.009 (+0.768...+0.787) - [0.0%] Duration: 10.6 seconds |
|
| |
1 2592 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
2 1296 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
|
Lift + fan

              
 
              
 | | White is Player 2
score: 0 pip: 60 | Unlimited Game Jacoby Beaver | pip: 112 score: 0
Blue is Player 1 | |
| XGID=aC-BBBB--------A--AbBc-bg-:1:1:1:00:0:0:3:0:10 |
| Blue on roll, cube action? |
| Analyzed in Rollout | No redouble | Redouble/Take |
| Player Winning Chances: | 74.50% (G:5.27% B:0.13%) | 74.75% (G:5.40% B:0.14%) |
| Opponent Winning Chances: | 25.50% (G:2.24% B:0.01%) | 25.25% (G:2.32% B:0.01%) |
| Cubeless Equities | +0.522 | +1.054 |
| Cubeful Equities |
| No redouble: | +0.914 (0.000) | ±0.002 (+0.911..+0.916) |
| Redouble/Take: | +0.914 | ±0.003 (+0.911..+0.917) |
| Redouble/Pass: | +1.000 (+0.086) |
| |
| Best Cube action: Redouble / Take |
| Rollout details |
15552 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
|
| |
| Double Decision confidence: | 56.6% |
| Take Decision confidence: | 100.0% |
| Duration: 2 minutes 21 seconds |
No lift + fan
XGR+ and weaker all thought this was a clear take. XGR++ agreed with the full rollout.

              
 
              
 | | White is Player 2
score: 0 pip: 60 | Unlimited Game Jacoby Beaver | pip: 112 score: 0
Blue is Player 1 | |
| XGID=aBABBBB-------A---AbBc-bg-:1:1:1:00:0:0:3:0:10 |
| Blue on roll, cube action? |
| Analyzed in Rollout | No redouble | Redouble/Take |
| Player Winning Chances: | 75.22% (G:6.26% B:0.16%) | 78.94% (G:6.45% B:0.18%) |
| Opponent Winning Chances: | 24.78% (G:5.89% B:0.02%) | 21.06% (G:7.23% B:0.04%) |
| Cubeless Equities | +0.510 | +1.145 |
| Cubeful Equities |
| No redouble: | +0.849 (-0.151) | ±0.006 (+0.843..+0.855) |
| Redouble/Take: | +1.054 (+0.054) | ±0.012 (+1.042..+1.066) |
| Redouble/Pass: | +1.000 |
| |
| Best Cube action: Redouble / Pass |
| Rollout details |
1296 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
|
| |
| Double Decision confidence: | 100.0% |
| Take Decision confidence: | 100.0% |
| Duration: 13.2 seconds |