Hero's image: 20s young asian, tight aggressive image 

V1: opens very tight and calls very wide (opens premiums, good broadways etc but calls super wide in multiway pots with SC, suited 1 gappers, even K6ss and J6ss) likes to draw and is mostly passive (always calls instead of raising draws etc) Basically quite call-y

V2: very solid thinking reg who is very capable of making moves

Hero: 2000
V1: 1400
V2: 3000

Hero picks up QQ in UTG+1, opens for 20, V1 in UTG+2 flats, random flats in LP, folded around to V2 on BTN who 3b to 110. I flat the 3b OOP, not wanting to play a massive pot OOP against V who can make life difficult for me post when my hand is face up (reason in the next sentence). A large part of my decision to flat is also because I have never been seen to 4b trash among these players so I don't want to iso myself against V2's nut hands. Would definitely 4b if I had a more balanced 4b range which included other hands other than AK KK AA etc. 

V1 flats and flop comes 4d6h7h. I check, V1 donks 325 into 357 pot. V2 tanks and folds. Hero ??? Thoughts: I don't really have a good read on V1 but I don't think he would donk sets, straights or 2p given that action was likely to check to V2 who would bet, me flatting and then V1 go crazy after with those hands. I most likely range V1 on smaller OP (88-JJ??) or 7x. If such, should I ever 2b GII OTF? 

Anyway, I decided to flat. Turn Th. Hero ???

River Jc. Hero ???

Should we ever 2b GII OTF? If we put V on OPs, is there any merit to betting turn? No right? Considering we only might even get folds from 88-99, JJ OTT while valuing ourselves against straights, flushes, sets (unlikely but he might? i dunno) Also, if villain checks back turn, should we ever bet river? Bet/fold? I do not know if he checks back flushes or sets OTT. 

What's the best way to play this hand?