[NIX]

I still like the idea of folding the turn, although now that you're heads up against the overagro guy, I suppose our hand has a little more value.

I'm not sure if I like your read that you stand a chance of getting a free card on the turn though. While it would be nice, and most likely let you know you're ahead, I'm not sure if it happens. Going on the read you gave, I'm thinking BB will bet again most of the hands that he bet the flop with. You say he's aggressive and say one time that he didn't bet, he was sitting on ten high, and has taken down a lot of other hands without a showdown. He may value bet ace high (incorrectly here), semi-bluff Qx or diamonds, or potentially bet a smaller pocket pair which is still ahead of 44. Other than possibly Kxs where x is small or smaller suited connectors, 76s/65s, I don't know if we get a free card.