Pretty much the same situation as the other hand - I raise pre-flop, lead out after the flop and turn, but have nothing better than A-high after the river...

Party Poker 0.15/0.30 Hold'em (9 handed)

Preflop: Hero is MP2 with , .
1 fold, UTG+1 calls, 1 fold, Hero raises, 2 folds, SB calls, BB calls, UTG+1 calls.

Flop: (8 SB) , , (5 players)
SB checks, BB checks, UTG+1 checks, Hero bets, SB calls, BB folds, UTG+1 calls.

Turn: (5.50 BB) (4 players)
SB checks, UTG+1 checks, Hero bets, SB calls, UTG+1 folds.

River: (7.50 BB) (3 players)
SB checks, Hero ???

I did a similar thing, whiffing with a K-high. I bet out the whole way, and he called me down with 3rd pair. He thought it was good....he was right. Like TW said to me, check the river and save a BB.

PokerStars 5/10 Hold'em (10 handed)

Preflop: Hero is SB with , .
4 folds, MP2 calls, 3 folds, Hero completes, BB checks.

Flop: (3 SB) , , (3 players)
Hero bets, BB folds, MP2 calls.

Turn: (2.50 BB) (2 players)
Hero bets, MP2 calls.

River: (4.50 BB) (2 players)
Hero bets, MP2 calls.

Final Pot: 6.50 BB

Results in white below:
Hero has Kd Tc (one pair, jacks).
MP2 has 8c 6c (two pair, jacks and eights).
Outcome: MP2 wins 6.50 BB.

Like TW and I say, check the river with a-high against everyone except the TIGHTEST opponents. Stickdude, your hand is the same exact situation as all the others.