QQ, stuck on the turn

[DJ Sensei]

$50 NL Texas Hold'em
Seat 9 is the button
Total number of players : 9

Seat 1: ( $69.65 )
Seat 5: ( $23.45 )
Seat 6: ( $53.45 )
Seat 9: ( $53.50 )
Seat 10: ( $66.40 )
Seat 4: hero ( $89.70 )
Seat 2: villain ( $42.50 )
Seat 8: fish ( $33.80 )
Seat 3: ( $50 )

somebody posts small blind [$0.25].
somebody else posts big blind [$0.50].

Dealt to hero [ Q /images/graemlins/club.gif Q /images/graemlins/heart.gif ]
villain calls [$0.50].
hero raises [$2].
2 folds.
fish calls [$2].
3 folds.
villain calls [$1.50].
** Dealing Flop ** [ 7 /images/graemlins/spade.gif, 5 /images/graemlins/club.gif, 3 /images/graemlins/heart.gif ] Pot = $6.75
villain checks.
hero bets [$4].
fish folds.
villain calls [$4].
** Dealing Turn ** [ 5 /images/graemlins/spade.gif ] Pot = $14.75
villain checks.
Hero bets [$8].
villain raises [$16].
Hero ?

Pot is currently $38.75, villain has $20.50 behind. Villain is not a fish (assume no 64 here), so clearly he's representing a set here (probably 7's, maybe 3's), (trip 5's seem unlikely, unless he's on A5s). However, JJ, TT, or 99 could also be a possible hand. Are the chances of him overplaying those hands high enough for me to call the turn raise and presumable river bet?

[trumpman84]

Heh..I know this sounds weird, but what do people think of a min-3 bet here. Pretty likely villain is drawing to 2 outs if he's behind so no reason to protect our hand with a bigger raise. I think you can safely fold if he pushes this now and you'll probably get a free showdown if he calls. This is just something that popped into my head. Could be terrible though dont take my word.

EDIT: Just looked at villain's stack size and he's pretty low so I don't know if folding to a push is the right move. This is a tought spot given the stack sizes..I'm not sure you have enough information to fold and calling or raising pretty much commits you to going all in so I might just push and hope for the best.