5/10 Getting cold called holding a baby flush

[JMa]

Ive only showed down one real hand on this table. Villain is new to me.

I ($1700) am in BB w/4s5s. CO ($800) limps and button ($500) raises to $35. I call and so do CO. Pot is $140.

The flop is Qs 3s 2s, giving me the smallest possible flush. I check in order to induce a continuation bet to receive some bluff money. CO checks and button fires out a measly $40. I c/r to $200 and CO cold-calls... button folds. The pot is now about $500. CO has about $500 left and I cover.

The turn is a blank. Now what?