Opponent "atn" has only $10, the other guy has almost a full buy in. I have them covered. Semi-loose passive table on Prima.

whitewalls : Posts 0.20
minis : Folds
Snippo : Folds
sisterowendy : Folds
Stoneburg : Raises for 1.20 [Ah]
whitewalls : Folds
LennAA : Folds
Chris-Bg : Folds
atn : Calls for 1.10
Multibetter : Calls for 1.00

Flop $3.80 [5c]
------------------
atn : Checks
Multibetter : Checks
Stoneburg : Bets 3.00
atn : Calls for 3.00
Multibetter : Calls for 3.00

Turn $12.80 [9h]
------------------
atn : Checks
Multibetter : Checks
Stoneburg : Checks

River $12.80 [3h]
------------------
atn : Bets 2.00
Multibetter : Folds
Stoneburg : Raises for 6.00


Anything I should be doing differently?

I think this is a fairly standard play, however, I'm interested to see what others think here but I don't think a bet on the turn is unreasonable. I guess the only likely hands you beat that would call a flop and a turn bet are KJ and K10. Otherwise he is probably holding hearts AK or KQ. He may have only something like AQ or QJ but that hand is probably not likely to call you on the turn if you bet again. So a check behind is probably the proper play and probably what I would have done as well. But I would like to hear from others if there is some logic in betting the turn because it would also be nice to win a good pot here with such a strong hand.

I definitely check the turn behind (and thank my lucky stars I have the chance).

[edit: misread post several times - you played it just right]

Out of interest, if you don't have a heart (and it's a say on the turn, so not making a straight) - do you bet the turn then?!