Villain is 58/8/2.4 with a 3bet of 4.3 over 178 hands. On the turn, I think my hand is pretty face up as a big Ace, so I am not sure how much fold equity I can generate with a shove. Villain's range on turn has me confused. They are repping TT, maybe 96s, J9s, 64s maybe, and perhaps occasionally an overpair, although that seems unlikely, but I see this occasionally in these spots. Is my call on the turn good, or should I be shoving here sometimes? Also, should I ever be jamming river? I guess he can have some flush draws in his range also, but I beat those, so checking back on the river seems like the best option.

I don't really like the pre-flop 3 bet. Everyone at the table is still in the hand, 3 of them have voluntarily put in chips, and 4 have not acted at all. Plus this hand can play pretty well multi-way post flop.

Checking the flop with 4 players is fine.

You have the correct odds to call the turn. I don't see any point in a semi bluff, as you checked back the flop, so you can't represent many made hands (basically TT), and you are giving great odds for a call. Better to flat call and hope the other 2 players call and make your odds even better. Your flush draw is to the nuts, and even the straight is very unlikely to be second best.

On the river I like the check back. What is a bet of 2.57 into 7.09 going to fold out that you are not ahead of anyway?

58/8 is not folding much to a shove here, their turn bet indicates some kind of pair or straight or decent draw, just call in these spots and stack them when you hit instead of trying to GII with ace high on the turn vs fish who has already shown interest in the pot. Don't bluff river.

Squeeze here is ok if your main goal is to get HU with the fish, but make sure utg is not too tight and has fold to 3bet 70%+. Otherwise I would not 3bet bluff, especially since AJs plays well multiway.

You know you're betting $2 to win $2 when he's calling $2 to win $9, right?

call turn has the most value, hopeing mp1 calls....