Bet out on the flop. If you just screwed him he is not leaving on the flop bet.
When the flush comes bet out, if he raises it up go ahead and push.
This is micro limits, he is going to call with a naked ace or some crappy two pair.
Make him pay for that fourth flush card. If you do check the turn you gotta CR it up.
I think you played it too weak on all streets except for the river, calling on the river is a good optimal play. You can extract bluffs from missed flushes, perceived value bets from two pairs. Also you can lose a lot less from better trips and the flushes out there.
Just my two cents, I have never really played 10 dollar tables before.
Agression is the key to this game.