Checking behind the turn with an overpair

I've been experimenting with this when I have no read. Is it worth it to check the turn for pot control from a set but risking a suck out? How about on a rainbow flop?

Situation looks like:

50nl on Party Poker.

Hero ($50.80)
CO ($25.25)
Button ($9.95)
SB ($50)
BB ($43.82)
UTG ($53.72)
UTG+1 ($20.45)
MP1 ($50.75)

Preflop: Hero is MP2 with A, A. CO posts a blind of $0.75. SB posts a blind of $0.25.
UTG calls $.5, UTG+1 calls $.5, 1 fold, Hero raises to $3, 4 folds, UTG calls $2.5, UTG+1 calls $2.50.

Flop: ($10.50) K, 2, J (3 players)
UTG bets $5.19, UTG+1 folds, Hero raises to $16, UTG calls $10.81.

Turn: ($42, hero has $31 left) 3 (2 players)
UTG checks, Hero checks.

River: ($42) 3 (2 players)
...Here bets the river if villain checks or calls a small/medium bet).

Final Pot: $42

Makes no sense.. if he has a hand, he's pushing the river and you're calling, so the money is going in anyway.. and if he doesn't have a hand, he's getting a free card.

Yea this wasn't a very good hand to use that tactic. I would need a solid read to use it or to fold to a river push in that hand.

After thinking some more, it seems like it only makes sense in smaller pots on the turn relative to stacks, and without big draws.

BET!!! At lower limits it's very uncommon for ppl to check-raise bluff you off a hand on the turn. Charge him for his draw, and make it expensive to showdown his top pair.

If the board was rainbow or paired (ex. 933), and you had a specific read on villian (for example, that he's an over-aggro fish that won't pay off value bets but will bet big when shown weakness, or if a set-farmer calls a bet and you suspect something is up), then checking behind on the turn is more appropriate.

Also, you should use this sometimes against solid thinking players, just so they know that a turn check does not mean missed overs and you are giving up.

I think this "experiment" was part of a backwards tilt (being overly cautious) yesterday. I knew there is something to this play though, and it makes a lot more sense now, so thanks.