Your reaction to V2 calling should not be oh ****. It should be fist-pumping in your head that you are getting your AA 3-bet cold called in a straddle pot. You just have to realize that there is a pretty good chance all or most of you stack will be in the middle by the river, and make peace with that eventuality. You got over 10% of your stack in preflop with AA. That's a huge win. You'll turn a profit in this spot almost regardless of you play it from here on out.
Flop check is horrible. It's not a great flop, but their ranges are full of KQ/JJ/QQ/AK/AQ/AJ that we can get value from and/or deny equity. You're seeing monsters under the bed if you are worried about sets. It's a wet board. $200. If called, shove that turn. EZ game.
As played, turn bet is good, but sizing is bad. We are giving too good a price to any hand with equity. It needs to be at least 1/2 pot on this board.
OTR, you can check or bet. Sizing down here is fine, but you may have just induced the raise. I don't know what I'd do because I'm not likely to have played it this way. You played it like you're scared and I see people raise with the A
blocker a lot. Given the price you are getting it's probably a crying call. You only have to be good about 20% of the time. Sometimes this will be a King going for thin value or a bluff.