Overpair no good?

Hand #32810734-36048 at Boardman (No Limit Hold'em)
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Started at 16/Jul/06 12:16:38

SimB is at seat 0 with $10.15.
zzasj is at seat 1 with $12.70.
ddhlakebound is at seat 2 with $10.90.
ffulbon is at seat 3 with $9.70.
andy609 is at seat 4 with $13.85.
karell11 is at seat 5 with $5.35.
Rick Celt is at seat 6 with $19.52.
10man is at seat 7 with $4.78.
FlopKings is at seat 8 with $8.07.
-mirko- is at seat 9 with $5.70.
The button is at seat 7.

FlopKings posts the small blind of $.05.
-mirko- posts the big blind of $.10.

SimB: -- --
zzasj: -- --
ddhlakebound: -- --
ffulbon: -- --
andy609: Jc Jd
karell11: -- --
Rick Celt: -- --
10man: -- --
FlopKings: -- --
-mirko-: -- --

Pre-flop:

SimB folds. zzasj folds. ddhlakebound folds.
ffulbon folds. andy609 raises to $.40. karell11
folds. Rick Celt calls. 10man folds. FlopKings
folds. -mirko- calls.

Flop (board: 3s 6d 7h):

-mirko- bets $.45. andy609 raises to $2.70. Rick
Celt calls. -mirko- folds.

Turn (board: 3s 6d 7h 5s):

andy609 checks. Rick Celt bets $4. andy609 folds.
Rick Celt is returned $4 (uncalled).

Hand #32810734-36048 Summary:

$.35 is raked from a pot of $7.10.
Rick Celt wins $6.75.

No reads. That's exactly how I would have played a set. I certainly don't think he had a straight. So was this a good laydown? Should I have bet the turn? How likely was it he had 88, 99 or TT?