In the vein of Bill Maher: New rule - all mnemonic pots in raids get shifted to healers from any melee. Casters and healers keep what they get.
I think this is extremely fair since the healers are the ones keeping the melee up (I don't know that many self sufficient DPS in a raid especially end game stuff). From someone that plays both I would be more that willing to trade those that drop on my DPS toons to healers. And as a healer I know that it would be nice to feel some love from the expecially needy DPS that sits there and takes it expecting a healer to keep him up.
Easy to enforce as well as the healers will remember whether or not it happened and either decide not to heal for that person/guild again. That and peer pressure can result in the handover of "accidentally" looted pots. That or the healer could just decide not to heal for the rest of the raid.
Thoughts?