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No, you would have to interrupt or instead the discard to be able to do anything. The enhancement is discarded along with the evil character, so their would be no evil cards in battle for Grapes to target.
You cannot play Grapes on an Enhancement if there is no EC in battle, because unless you use something like UN the battle jumps to Battle Resoution and no Doms can be played at that time.
megamanlan, you are correct in saying that you cannot play dominants during Battle Resolution. However, the battle does not go to battle resolution unless both players agree upon it.Situation A: Mutual Destruction/Stalemate/Winning/Losing. "I pass." "I pass." "I pass." Battle Resolution. No dominants.Situation B: Discard by ability. Special Initiative activates, player chooses to pass, player chooses to do nothing more, other player chooses to do nothing more. Battle Resolution. No dominants.Battle Resolution can only be forced by End The Battle cards, but otherwise it must be agreed upon by both players. Thus your side-comments is not pertinent to this question, nor accurate, because you can play as many dominants as you like until you agree to go to battle resolution.As for the original question, I've always played if the evil character dies and there's nobody to bounce to, the enhancements go too, but I have nothing to back that up.
As for the REG, the search there was rarely helpful anyways, since it would bring up any result containing any of the words you searched for, not necessarily all of them, and in no helpful order.
Gabe ruled it in this thread and included a quote from the REG.