my first piece of advice would be to not ask the question here as most people here don't operate on the 10/20 short level (myself included), but i would probably toss this one preflop as its not a great hand and BB is pretty solid as you said so it will be a tough battle.

i'd be tempted to 3bet flop possibly orr donkbet the turn. most players will 3bet any ace headsup so I wouldn't put him on an ace. this board is pretty drawless so you can always 3bet/bet/checkcall call/donk or call/checkcall/betcall

i'm a big fan of donking the turn because we won't get him to go away on the flop for 1 more SB but a donk turn might get him to fold.

I don't know what he has. If he is tricky, he would not raise his A on the flop, in which case I would probably call him down; otherwise, I fold. But more importantly, I would never steal raise with this kind of a rag in a short game, unless it was against a real tight player. Give up the $5 to not trap yourself in a hand like this where against most decent players you have to pay them off. You don't need to play hands like this to make money at 10/20 6way, if its at party which it looks like from the history.

I think either leading out on the turn and folding to a raise or checking and folding are the best options. I have trouble with checking and calling. You only have 5 outs to improve so might as well lead the turn if you are going to call anyway. Tough hand.
If he had a A you think he would just check the flop since there aren't alot of draws on the flop and then raise your turn bet. But I am not so sure about that fact that I want to waste a turn and river call here with a pretty weak hand. That's why I think I would want to figure out if he's serious either on the flop by reraising (folding to a reraise) or on the turn by betting (and folding to a raise.)

I was out of town for a while but I wanted to post the results.

My opponent was standard tricky for a 10/20 game which are usually filled with hyper-aggression.

Why blind steal with junk like Q6. In my opinion it was a loose play but heads up with an opponent that will defend with anything Q high has some relative strength. So about 1/4 of the time I'll raise and I'll fold the rest.

I caught middle pair on the flop with an ace rag board so I felt the flop bet was the correct play as I wanted to end the hand there. My opponent raised. This actually was less scary to me then a call as a call on a rag board screams slowplay with an ace. I was also not very concerned with an overpair to my pair of sixes as I would have seen a re-raise on the flop. So at this point I'm looking at a bluff, a pair of sixes or bottom pair as the most likely hand. Right know I'm only behind to a K6

The turn was a rag that open up some thin draws. I check with the intention of calling which again is a slightly questionable play. But my thought here was o let my opponent take the lead and avoid the raise on the turn as he could very likely continue the bluff on a rag board and I didn't want to be in a position to give up my hand. He bet and I called.

The river was an Ace paring the board and I check as I'm out of position with the intention of calling. My opponent checks and shows a pair of twos and I take the hand with my sixes.

I thought this was a nice example of a heads up hand where you need to read the opponent's betting pattern to put him on a hand. After the hand plays out you can understand why my opponent played the way he did as he was trying to end the hand early also. As a general rule in heads up play. aggression on the flop means a mediocre or worse hand.