Should I have checked the turn?

[sublime]

Paradise Poker 0.50/1 Hold'em (7 handed) converter (http://www.selachian.com/tools/bisonconverter/hhconverter.cgi)

Preflop: Hero is SB with A/images/graemlins/heart.gif, K/images/graemlins/diamond.gif.
UTG folds, MP1 folds, MP2 folds, CO folds, Button folds, <font color="CC3333">Hero raises</font>, BB calls.

Flop: (4 SB) T/images/graemlins/diamond.gif, Q/images/graemlins/heart.gif, 3/images/graemlins/heart.gif <font color="blue">(2 players) </font>
<font color="CC3333">Hero bets</font>, BB calls.

Turn: (3 BB) 6/images/graemlins/heart.gif <font color="blue">(2 players) </font>
<font color="CC3333">Hero bets</font>, BB calls.

River: (5 BB) T/images/graemlins/spade.gif <font color="blue">(2 players) </font>
Hero checks, <font color="CC3333">BB bets</font>, Hero calls.

Final Pot: 7 BB
<font color="#990066">Main Pot: 7 BB, between Hero and BB.</font> &gt; <font color="white">Pot won by BB (7 BB).</font>

Results in white below: <font color="white">
BB shows Th 4d (three of a kind, tens).
Hero shows Ah Kd (one pair, tens).
Outcome: BB wins 7 BB. </font>

[bisonbison]

Heads-up, I would probably bet this turn most of the time. Even if you're called or raised, you have a ton of outs.

[Peter Harris]

i agree, heads up i'd bet my AK in each place you did. Better luck next time.

Pete