First, I would take out AA because very few people would just limp/call with it. Limp/raise maybe, but not limp/call. Next, if you are giving your oppenent much credit I wouldn't expect him to call you with KQ. Then you get:

equity (%) win (%) tie (%)
Hand 1: 25.8838 % 00.88% 25.00% { AdKc }
Hand 2: 74.1162 % 49.12% 25.00% { 77, 55, AKs, AKo }

Which is definitely -EV. But if there is any chance your opponent is bluffing and/or will fold to a push, then this could push it back to positive EV. With a 10% chance that your oppenent folds to a push, you're looking at around -$3.4. Personally, I've seen a lot of players raise in this situation holding anything from KQ to K5 to JJ-88 if they suspect you are just making a cbet, so I would put the chance of your opponent folding at at least 20%, but that still puts you at -$0.31. With a 30% chance that your opponent folds, you're at +$2.7, and 25-30% seems about right to me.

I can definitely see that if you added in the possibility of a semi-bluff with a flush draw (or 64 in this situation) that this would help the situation.