100nl QQ gay spot

Villain is a tag reg I'm pretty sure and is probably one of the better 100nl 6m players.. I'm only at this table because theres a pretty bad fish here and have played like 4 orbits and my image probably is terrible as I've been 3b obvious fish isolations and raising cbets, while I've had solid hands most of those times villain does not know this.

This spot is just so gay, being deep makes it even worse. I'm at a loss of what to do here because his range should crush me and if it doesn't there are so many scare cards he can use on the turn.

So I'm asking do you guys 3b/call here or just fold? I'm not a big fan of calling OOP and deep tbh but I do not play a lot of 6m so my opinions probably arent very good

PokerStars, $0.50/1 Hold'em Cash Games, 6 Players

Board:
CO: $293.55
Button: $268.65
SB: $65.15
BB: $407
UTG: $273.95
Hero : $188.60

Dealt to UTG+1 Q:spade: Q:heart:

Pre-flop:
(1 folds),Hero raises to $3.50, (1 folds), Button calls $3.50, (2 folds)

Flop: ($8.50) 3:heart: J:heart: 6:club: (2 Players)
Hero bets $6, Button raises to $16, Hero?????

I call and play poker on the turn, I don't think hes going to be getting it in a lot versus a 3 bet with much that you beat unless you have a read that he will overplay draws like this while deep.

hmm.. a 3b (~$40) here would let you know right away if he's playing for stacks i think. I'd put the pressure back on him and decide based on his reaction how to proceed.