[wyrd]

I'd check and let him catch up. Bet small on the turn (to look weak) hoping he caught something and is willing to raise, or at the very least it gives him a chance to bluff at the pot. If your opponent catches up (ie; hits a flush, or has pocket pair and hits a boat), he's going to pay you off. Quite a few people will even pay you off with top pair. If you blow him out of the pot now, you'll have no chance of getting his entire stack.

I continuation bet 99% of the time (because it takes down the pot most of the time), and while checking here would look very out of place for me, most of the people online don't pay attention. So I have no problems checking it.