QQ vs scary board

I am currently in a rebuilding phase after a bad run at .05/.1 and am playing .01/.02 on Stars. There is actually some decent money in it. Much better than UB's .01/.02 tables, mainly because you can have the fish buy in with $5 max instead of $2. Anyway.. on to the post.

PokerStars No-Limit Hold'em, $0.02 BB (8 handed) converter

Hero ($4.72)
UTG+1 ($2)
MP1 ($5.04)
MP2 ($4.56)
CO ($2)
Button ($8.86)
SB ($7.83)
BB ($4.82)

Preflop: Hero is UTG with Q[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/club.gif[/img]. CO posts a blind of $0.02.
<font color="#CC3333">Hero raises to $0.2</font>, <font color="#666666">1 fold</font>, MP1 calls $0.20, <font color="#666666">4 folds</font>, BB calls $0.18.

At this table there are 2-3 really loose players that will call pretty much any preflop bet of .10 and lower. So, to be taken seriously I tried a large .20 preflop bet UTG.

Flop: ($0.63) 3[img]/images/graemlins/heart.gif[/img], T[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">Hero bets $0.22</font>, MP1 calls $0.22, BB folds.

I bet 1/3 of the pot here figuring an ace would either call or raise me. If I was raised I would fold.

Turn: ($1.07) A[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">MP1 bets $0.12</font>, Hero calls $0.12.

I checked to try and see what they had. The small bet was a little suspicious, but I called it thinking they might have a ten.

River: ($1.31) T[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">MP1 bets $0.94</font>, Hero folds.

The river didn't help my situation any and the bet was the sealed the deal.

Final Pot: $2.25

Do you think my line was right? If not what do you think would have been better?