So if there wasn't an all in player, I'm positive raising flop is correct here. Is it still correct due to the great chance that AK high is currently in the lead against the all-in player?

Reads: V1 is new. V2 is loose passive, limps alot. V3 is new.

Effective Stacks: $180 against V1 and V3.

I raise to $12 UTG with AK. V1 calls in MP, V2 shoves for $17 total in the SB. V3 calls from the BB. I call, V1 calls. Flop comes 1055. V3 leads for $15. I raise to $45. V1 calls, V3 folds.

Turn is K. I check, not for "pot control", but because I think his range is usually A10, QQ, JJ, Q10, ect. I'd love to get all the money in postflop w/ top pair, but here it's just hard for him to call a bet here with these hands. He checks behind. River is 3. Best bet sizing here to squeeze a call out of his likely range?

Yes it's correct.

Your AK high is probably good vs side pot all in, and HU you probably should start building that pot/taking it down OTF with your big draw.

I would bet something like 50-60 OTR to get villain to cry call with a 10 or JJ-QQ

I count $68 main, minus rake and a $90 side pot.

While I don't like the turn check, your reason seems sound and you were there.

Assuming V3 seems to be paying attention, I would value bet $50, if not closer to $30.