You are not looking to get away from two aces with an effective starting stack of 10-14BB. Its a golden opportunity to dubble up, which you dont get very often, so its only a question of, how do you want to stack it off. I think, there are two ways to do it:
1) Jam over the limp preflop. Stacks are short enough for that, and you can balance it out by also jamming with some hands, where you dont mind it, if everyone fold.
2) Bet like you did preflop in the hope, that it induces someone else to jam, and when the fish just call, jam the flop to put him all in.
The way, you played it, was not terrible, but with so few chips left behind, I dont see any point in even making it a 2 street game. He either has a hand, he is going to go with, or he missed and is going to fold to preserve his last chips.
Honestly the forum is full of hands like this, that are just completely standard coolers. And they are kind of boring, because there is very little education value in them. Sure there are a few different ways, we could have played aces here. But none of them involve folding, so the result would have been the same anyway.