Opp is 67/0/1.8AF over 39 hands, cold calling raises 50% of the time (7 hands out of 14). At the time of the hand, his stats were even looser.

So his preflop range is incredibly wide, I'd say he plays any two suited, all aces, all kings ,Q5+,J7+, T8+,98 or so

Don't know how to interpret the donk min bet, some opps do that with a flush draw or even air, some do it with their strong hands like overpairs or trips or sets, so let's say his range:
any two spades (anyone knows a convenient way to quickly select "any two spades" in Pokerstove?), 8x, 3x and maybe even all his PP lower than 8.

So it's definitely a raise here, no question about it.

Then I'd say he min-reraise all his 8's, all his 3's, 99+: 99+,A8s,A3s,K8s,K3s,Q8s,Q3s,J8s,J3s,T8s,T3s,98s,93 s,83s,73s,63s,53s,43s,A8o,A3o,K8o,K3o,Q8o,T8o

Not sure if he would do that with his flush draws.

If he doesn't do it with his flush draws, we get 55% equity:
Code:
Text results appended to pokerstove.txt

 110,880  games     0.003 secs    36,960,000  games/sec

Board: 3c 8c 3s
Dead:  

    equity     win     tie           pots won     pots tied    
Hand 0:     54.403%      53.97%     00.43%              59847           475.50   { QhQs }
Hand 1:     45.597%      45.17%     00.43%              50082           475.50   { 88+, A8s, A3s, K8s, K3s, Q8s, Q3s, J8s, J3s, T8s, T3s, 98s, 93s, 83s, 73s, 63s, 53s, 43s, A8o, A3o, K8o, K3o, Q8o, T8o }
Of course, I am not sure about the above range. Maybe he only does that with his 3's and 88+ instead, in which case we're crushed.

Shove over, call or fold?


Full Tilt No-Limit Hold'em, $0.05 BB (9 handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

saw flop

BB ($5.27)
Hero (UTG) ($5.04)
UTG+1 ($1.99)
MP1 ($7.35)
MP2 ($0.54)
MP3 ($5)
CO ($5.50)
Button ($3.37)
SB ($6.46)

Preflop: Hero is UTG with Q, Q
Hero bets $0.20, 6 folds, SB calls $0.18, 1 fold

Flop: ($0.45) 3, 8, 3 (2 players)
SB bets $0.05, Hero raises to $0.50, SB raises to $0.95