1/2 NLcash, 3betted pot, turnaction?

[olof86]

Villian is 3betting semiwide, plays pretty standard postflop.
I call this pre from time to time, mixing it up. I could def. be raising (and comitting) the flop, but in my experience ppl stack off pretty light once that happens.
Do you prefer a bet or check on turn? And what's your betsize once you choose to bet? (any bet would comitt us to the pot obviously, if he raises)

Prima Poker skin
No Limit Holdem Ring game
Blinds: $1/$2
2 players
Converter

Stack sizes:
Hero: $230.50
BB: $199.30

Pre-flop: (2 players) Hero is SB with :10h :9h
Hero raises to $6, BB raises to $20, Hero calls.

Flop: :qd :4h :3h ($42, 2 players)
BB bets $34, Hero calls.

Turn: :jd ($110, 2 players)
BB checks. Hero?