[2nl]Set of jacks vs scary turn

To add: I know its 2nl and I may be giving my opponent a lot of credit, but until I have a better read on them and how they play, I usually give them the benefit of a doubt.

pokerstars Game #20452679794: Hold'em No Limit ($0.01/$0.02) - 2008/09/16 12:36:50 ET
Table 'Claudia' 9-max Seat #2 is the button
Seat 1: §exyHoney ($1.32 in chips)
Seat 2: axelo ($1.64 in chips)
Seat 3: janlemmi ($1.48 in chips)
Seat 4: Lady noa ($2.53 in chips)
Seat 5: kutyauto0911 ($4 in chips)
Seat 6: DealMeAces ($3.07 in chips)
Seat 7: WutKnut ($3.87 in chips)
Seat 8: hungvo ($3.14 in chips)
Seat 9: TRM_SHRiMP ($1.86 in chips)
janlemmi: posts small blind $0.01
Lady noa: posts big blind $0.02
§exyHoney: posts big blind $0.02
*** HOLE CARDS ***
Dealt to TRM_SHRiMP [Js Jh]
kutyauto0911: folds
DealMeAces: folds
WutKnut: folds
hungvo: folds
TRM_SHRiMP: raises $0.06 to $0.08
§exyHoney: calls $0.06
axelo: calls $0.08
janlemmi: raises $0.08 to $0.16
...I dont like this min-raise here. It can be QQ-AA, AK, AQ possibly. I havent played many hands at this table yet and I've only seen this player player a few hands, no showdown.
Lady noa: folds
TRM_SHRiMP: calls $0.08
...I decide to just call here and see if I hit a set on the flop.
§exyHoney: calls $0.08
axelo: calls $0.08
*** FLOP *** [9d Jc Qh]
janlemmi: bets $0.20
...Very small bet here. Looks like a probe bet more than anything.
TRM_SHRiMP: raises $0.40 to $0.60
...Small raise here. If my opponent is holding 99, QQ-AA, AQ, QJ, KQ maybe-I want them to shove here. Of course I dont want to see QQ, but if its set over set-thats ok.
§exyHoney: folds
axelo: folds
janlemmi: calls $0.40
...With just a call, I can probably assume opponent isn't holding 99, QQ-AA, AQ, QJ as I would expect flop bet to be bigger and/or opponent to come over the top-unless they're slow playing them. AK, AJ, A10, K10 JK, Q10, J10, 910 are all possible drawing hands opponent can be holding. With the exception of K10, I can see my opponent calling with a draw or pair + draw.
*** TURN *** [9d Jc Qh] [Kh]
§exyHoney is sitting out
§exyHoney has returned
janlemmi: checks
TRM_SHRiMP: checks
...Since a scare card hits, I check to see if a free river and try to fill up.
*** RIVER *** [9d Jc Qh Kh] [4s]
janlemmi: checks
TRM_SHRiMP: ???
...Seeing as my opponent checked with a possible straight on the board, what do do I do here? I beat a lot of possible hands my opponent can be holding, but is it too soft for check my JJJ here and play it safe?

I think I would put in a bet here. If he had three queens or the straight, I doubt he would have checked the river (you'd think he'd want to get some value out of those hands). I think it's more likely he has something like A,Q and stopped betting after the king came out because it scared him.

Bet, bet, bet. All three streets for value. Also top up your stack before each hand. If you get all-in against a larger stack you want to get the most $$ you can. Maximize your expectation.

plz bet turn... u lost the min value outa this hand..

Live and Learn. Thats why I come to you guys.