Passive Approach with flopped trips

[guaranteedBluff]

It's my first hand; that's why i'm in with this crap UTG.

Villain is 16/3. After his raise on the flop, I put him on either flush draw+overs, or a better 7 than me. Hence, I though raising would only fold out the worse hands and allow the better hands to get more $$. Also, he was pricing himself out of the draw, so I thought that it'd be doubly unnecessary to raise. Didn't consider A7 or K7 to be a strong possibility at any point.

Thoughts?

Alternate Lines?

Party Poker No-Limit Hold'em, $1 BB (8 handed) internettexasholdem.com

SB ($115.05)
BB ($255.25)
Hero ($100)
UTG+1 ($91.70)
MP1 ($61.37)
MP2 ($196.60)
CO ($202.10)
Button ($39.95)

Preflop: Hero is UTG with 7[img]/images/graemlins/club.gif[/img], q[img]/images/graemlins/club.gif[/img]. SB posts a blind of $0.50. Hero posts a blind of $1.
Hero (poster) checks, UTG+1 calls $1, 5 folds</font>, BB checks.

Flop: ($3.50) :3[img]/images/graemlins/spade.gif[/img], 7[img]/images/graemlins/heart.gif[/img], 7[img]/images/graemlins/spade.gif[/img] (3 players)
BB checks, Hero bets $3</font>, UTG+1 raises to $7, BB folds, Hero calls $4.

Turn: ($17.50) :5[img]/images/graemlins/club.gif[/img] (2 players)
Hero checks, UTG+1 bets $15, Hero calls $15.

River: ($47.50) j[img]/images/graemlins/club.gif[/img] (2 players)
Hero checks, UTG+1 bets $35, Hero calls $35.

Final Pot: $117.50