Am I the only one who thinks this is a ridiculous hand to discuss!??
I've only recently started reading posts and this is my first time posting, although i have been playing for a few years.
I don't want to hate on a player but c'mon man...
Check the turn!! You're holding the bolts - what are u doing? Let him hit something that allows him to think he might have the best hand. On that flop what is he caling with? 9 times out of 10 its a K. So only a total donk will call your second barrel after a pre-flop raise when the A repeats on the turn. This is bet shows way too much strength.
If he did smooth call your flop lead with a set he will definitely give you action when the turn A fills him up - let him bet.
Also by checking there is a chance he will think you made a standard c-bet on the flop and are now scared by his call and the A repeating and have therfore shut down. This will induce a bluff often enough to make checking the best play here.
Depending on the opponent, I would even rarely consider checking the river as well and increasing your chances of inducing a bet/bluff. But that said with your very short stack in this example I would shove the river hoping to appear desperate/bluffing.
I sincerely hope you weren't concerned by the gutshot royal draw opening up on the turn lol....