If I look at all the pro's and all the con's for the balls I can hit, this is what I get:
Kick the 10:
Pro's:
- Deuel is forced to move, I don't see offense from there. (I'm not sure I even want to call this a 'pro')
Con's:
Low precentage to hit it just right, knocking it up and away.
- Making it for Deuel is the best outcome
- Nothing heads toward my hole
Stunt the 12, stick to the 13:
Pro's:
- Moves the 4 toward my hole from the looks (not certain)
Con's:
Unless it's perfectly glued to the 13, I sell the 10 straight in.
- If I hit it too hard I could sell the 12 straight in.
- Deuel still kicks the 10, and now he's got more balls to shoot at when he makes it.
Stunt the 13 off the 8:
Pro's:
- It could move the 13 to my hole.
Con's:
- It could move the 13 to his hole.
- If I drift up any, with the 8 gone, the 6 can be cut.
- if I lay the 13 too close to my SR, I sell the cross.
Carom off the 3:
Pro's:
- Nothing straight in for Deuel, at least.
Con's:
- If I get bad, the 10 kicks still.
3-Cushion leave off the 14:
Pro's:
- Nothing straight in for Deuel, at least. (maybe)
Con's:
- If I'm short, the 11 banks.
- If I'm long I can sell the 10-kick
- If I over stroke it I can sell the 10-kick or the 10 straight-in
Bank the 1:
Pro's:
- Moves the 1 toward my hole.
- Can be played safe behind the 2-5
Con's:
- If I come up short on the safe, I leave Deuel straght-in.
- Mis-hit could yield neither the 1 nor the 7 near my pocket. (net punt)
Bank the 7:
Pro's:
- Moves the 7 toward my hole.
Con's: (Where to begin?)
- Whitey is all over the place (Might get safe with hard left behind the 2-5 again, but there's traffic)
- I want everyone I play to shoot this shot against me
I think that's all the balls that can be seen from there. You might be able to see the edge of the 2, but there is no reason to want to. I also didn't analyze other sensless kicks (or the bank on the 14) or intentional fouls since the result is the same as other analyzed shots (10-kick, straight-ins for Deuel, or just another punt).
From this, I think I'd have to shoot the 1. That's the only shot with an up-side.
Some feedback, which I assume you are looking for...
Of your options, banking the 1-ball or caroming off the 3-ball are the only ones that have much of a chance imo to help vs hurt from here.
Kick the 10: No way would I kick at the 10 unless it was hanging in the pocket -- in which case I would. But from here, way too many bad things could happen and there isn't much to gain even if you hit it perfect.
Stunt the 12 or the 13, stick there: Both of these shots leave you stuck on "the wrong side of the balls" -- that is a big no-no in a situation like this because you are leaving the cue ball conveniently right where your opponent wants it. he can take a scratch an leave you there, or possibly skim or bump more balls to his side and leave you somewhere else bad. Also, neither of those caroms appear to send a ball in a good direction for you as I see it.
3-cushion off the 14: Its a pretty small window between the 11 and 15, which is where you would intend to end up I presume, and the 14 isn't going to go somewhere to help you, so not much to gain either. And, you can get between the 11 & 15 by simply caroming off the 3 directly...
Bank the 7: you would be jacked up over balls to greatly add to an already difficult bank, and I don't see any decent tracks for the cue ball to go -- just trouble... Way too tough and too many ways to egregiously sell out.