Small card room, 1 hour before closing

SB is an asian male late 20s on his 4th buyin, in for $4000, extremely active and clearly tilting from previous hands. Hero is by far the tightest at the table and had to be woken up to play the hand.

Preflop: Hero is UTG+1 with KK
UTG(700) limps, Hero(1400) raises to 35, SB (1300) calls, UTG calls.

Flop: 666
SB quickly leads 30. UTG folds. Hero raises to 105. SB snap raises to 350. Hero shoves.

I probably flat the 3bet and get it in on any non-ace turn. He has to be pretty spewy to call the shove with worse on the flop in my opinion. Of course, we have his range crushed, but I think he might find a fold with TT.

And shoving prevents him from continuing any weird bluff he might have.

My initial reaction was, why not let tilty-McGee bluff off the rest of his stack. But after thinking about it, I think there's a good chance he has any pocket (except AA or KK since he's definitely gonna go for a big pot being stuck, thus would never flat pre-maybe add QQ or JJ to that list as well) or most Ax. And given his strong 3-bet on the flop, he seems to think his hand is good and will probably end up tilt-calling to try to get even, though he might fold the bottom of his Ax range, and obviously all bluffs (again tho, it doesn't seem like he thinks he's on a complete bluff).

His range is so wide though, there's always a small chance he found a 6. But if he did, it's one of those you just shake off. Plus, unless an A hits the turn, all the money would get in anyway, so shoving the flop doesn't change that.

tough one. Either he is overvaluing 22 - TT, or he has the 6. By his description, it sounds like he would RR JJ+ pre, so I am not worried about him having AA here.

If we shove into him, we look really strong, and he might lay down an overpair, and only call with the 6.

but by his description, I think we are paying off the 6 almost every time. so shoving is OK, but seems very thin.