Playing South in a Butler scoring pairs competition of supposedly high standard I deal myself the following collection:

Both sides are vulnerable and I am last to speak. West, on my left, opens 2 to show a weak hand with exactly five Hearts together with a minor. This particular toy has become quite popular recently (under the name of "Lucas Twos") and can certainly cause the opponents a headache or two. Anyway, partner Doubles 2 (for take-out, of course) and my right hand opponent raises the barrage with 3. Do I have enough to bid? What are the choices? 3, 4 and Pass are all I can think of.