Straight but the flush draw gets there...

[fathertime]

I know it is a big overbet but I get called on the turn by draws frequently enough that I wonder whether this is a good spot to push.

You may lose some value against worse hands that will make a crying call but I think you gain against his hand range:

1. If you bet river and he pushes, there is a very good chance he has the flush. I hate not getting to showdown here and will call against most players.
2. If you bet he will probably fold all hands except for a smaller straight and a flush.

And so a bet here folds a worse hand and allows a better hand to push.

But if you check

1. he may bet a worse hand to represent the board (a lot of players will bet when checked to)
2. he may bet two pair, either because he thinks it best or because he thinks you may fold to the flush scare card
3. he will bet a straight
4. he will bet a flush

And so checking allows you a chance of making more money against his hand range.