Raise/fold pre-flop, probably fold unless you have a read on UTG+1 as being overly aggro pre-flop. If that is the case, you need to 3-bet to isolate and get it HU (or thin the field and charge a gallon of gas to play).
Not capping pre-flop is not terrible actually, as all BB has been doing is going full throttle this hand. He probably has an overpair and you are drawing.
I think a raise would be really thin, and only if you think your A/J outs are absolutely clean (they probably are not, but mostly good). Folding here would be absolutely horrible, though.
As an aside, BB is about to go for this:
-K