[TomBrooks]

Preflop, if BB always comes along, just completing with A9s seems OK to me. Probably ATs I'd raise or AJo.

Flop: Peel is good with two overcards and flush chances. From the way you describe BB though, I think he made a pair though

River: I usually call with an ace on a double paired board, especially if the pairs are low, the opponents aren't too loose, and they are aggro. Since BB came in for free with any two cards though and the way you describe him, I think you can fold. The overcall helps decide towards a fold also as he might have an ace creating a split at best, although in this case it may make you lean more towards calling since he is a donkey and might be padding the pot with a K or Q.