4/180 vulnerable hand becomes near-nuts

[levAA]

1st I would bet not check - if he is on a draw he might check behind and you might miss the last chance to get more chips into the pot.

The board is really drawheavy so I would bet about 500 on the turn.

If he hits the flush you will be able to get it in on the river anyway - if he misses he might try a bluff.