Its a harsh situation. IMO since it was raised pre-flop, i'd just play it as any other draw. Call if its cheap, fold if someone shows too much aggression.
If you dont hit the flush or 2 pair, any other ace will beat you, as you are probably aware
I wouldnt have called it anyway, the flush is an unlikely hand to get, and the 4 kicker really means you cant bet on the ace.