V1: 30s white guy, no real info, stack 300
V2: 40s black guy; History: my first hand at the table, he straddles w/stack 200. I get AK IP and raise, he re-raises and I shove. He calls with KJo and binks two Js to double up through me. Aggro, playing pretty loose, limping nearly every hand, stack 400.
V3: white guy, stack ~200.
Hero: 40s white guy, table seemed surprised earlier that I shoved AK preflop, but I haven't played many hands since then. stack 300.
V4: 30s white guy, donk reg, station, knows everyone but showing down ATC. Called off 3 streets on A high board but mucked when winner showed A7o, no flush possibilities, stack 300.

V1 UTG limps, V2 in MP raises to 16, V3 calls, Hero calls with AQ on BTN. I think I'm way ahead of V2s range and am happy to play this multiway IP. V4 in BB calls, as does V1.

Flop (pot ~80)
JT4
V1 checks, V2 bets $22 (lol), V3 calls, Hero?

The way you describe these guys (they dont like folding), I would call and see what happens. Some of the time, I would pop it to $65 or so, but not in this situation against these exact villians. There is also value in calling here in a multiway pot as well as pretty much all the cards where you "get there" will likely give other people powerful 2nd best hands. (worse flushes, Q9, KJ, etc)

Flop action actually went like this:

Flop (pot ~80)
JT4
V4 (BB) checks, V1 checks, V2 bets $22, V3 calls, Hero?

play for stacks on the flop

Great spot to raise.
Raise to $75

raise, always always always. You have something like 18 outs here against a jack, (72%) and even have 12 outs against two pair or a set. You want as much money in on this flop as possible. Your outs are all scare cards, flushes, overcards etc. Don't let a villian fold a jack or ten on a turn when he would have called the flop raise or even shoved over you with top pair.
In terms of how much, $75 is fine, when people bet a 1/4 of the pot it's a weird one. You could definitely bet more and try to look like you are buying it. Are these villians sensitive to bet sizes? some are not.

Either way, raise it up while you have such good equity. Hope to get calls or even better, 3bets.

Ok, I've seen call, raise and shove. For those advocating calling or raising, what do we do on a blank turn?

You're in position, yes? If you bump it up otf and it checks to you on a blank turn we can check it back because as you said they don't like to fold. If you call and the turns a blank you will have to reevaluate based on their bet size and implied odds.

I'm not saying I would raise, but if i do, it's to $100-$120 and then I get it in on the turn regardless.

If we raise the flop, we've decided to play for stacks, I don't change my mind on a blank turn.