AK makes trips

This is a situation that I would like to extract value from but I have found trips (not sets) somewhat tricky to play against aggression. Converter does not seem to work for Paradise.

Paradise 5-max (5 handed)$50 NL

Hero($100) is on the button with AKo, deep-stacked villian($75) is UTG and makes his standard raise to $2.50. Short-stacked villian has about $7 when the hand begins and calls. Hero repops up to $9. UTG insta-calls and SS villian moves in. There is about $25 in the main pot and about $5 in the side pot.

Flop comes 6h Ac 3d

Villian checks and hero bets $15. Villian quickly calls.
Turn is the 10c. Villian checks and Hero checks behind.(weak?) River is As.
Villian checks again and Hero bets $28 into $35 side pot.

I think I might have been best to bet the turn but perhaps the check added some deception. I would have called reasonable river bet from villian wether the river Ace showed up or not. Thanks for replies.