Hm, I am little confused about that he bet only $0.20, and then he call your raise of $0.90. This move looks me that he has Ax. I don't think that he has AK, maybe he has something like AT. However, even that I think that he has Ax, if I was on your place I will bet on the flop to about 2/3 of the pot, because you have good cards and like you said, with your bet you will fold out all the low suited connectors and low pairs. Also there are two cards left to be dealt, and maybe one of that cards will be Q, so for my opinion you should bet on the flop to about 2/3 of the pot.