Full house value bet

[snowboard_31]

So my thinking went the flush completes and Ill be able to get a good pot from him. In my notes I have him calling the river when he hits trips and not raising, so i figured a large bet would make me more money if he was going for the flush.
Should I have raised much smaller for value, and is that overthinking at this limit?
villian : 76/2/52 hands SICK!!!
Dealer: Starting a new hand (#724263111)
Dealer: CrisUsai23 posts Small Blind $0.10
Dealer: laatum111 posts Big Blind $0.20
Dealer: Dealing cards
Dealer: Your cards 3h Kc
Dealer: MaldiniWins folds
Dealer: rhinolining folds
Dealer: Uwito folds
Dealer: CrisUsai23 calls $0.10
Dealer: laatum111 checks
Dealer: Dealing Flop
4c Jc 3s
Dealer: CrisUsai23 checks
Dealer: laatum111 bets $0.20 *pot 0.40
Dealer: CrisUsai23 calls $0.20
Dealer: Dealing Turn
4c Jc 3s Ks *pot .80
Dealer: CrisUsai23 checks
Dealer: laatum111 bets $0.60
Dealer: CrisUsai23 calls $0.60
Dealer: Dealing River
4c Jc 3s Ks 3c *pot 2.00
Dealer: CrisUsai23 bets $0.20
Dealer: laatum111 raises $4
.....

[daven]

stack sizes. As played I bet the river smaller, give them a reason to go over the top of your bet if they did hit the flush, and call if they didn't (extracting max value). Chances are that a flush will re-raise a smaller bet and then call your push. Raise just under pot, about $1.80-$2

[snowboard_31]

I definately agree that thats the best line to take, but with this specific player I had seen him show down several large hands by just calling the river and not raising for value. At this point I was afraid he would not come over top if he made the flush, and would call nothing if he did not make the flush.