Honestly, I wish that monsters did not drop any renown. I personally loathe looting monsters' corpse. It is something from other MMOs that I was happy DDO did not include. It slows down the combat and quest progression too much. Putting something valuable in there makes it even worse. Consequently, it would also completely remove the chance for there to ever be a situation where "grinding mobs" the is the best way to acquire renown. It would all be about chests and end rewards.
If you really have to keep the corpse looting, then steal a page from FPS games and make us auto-pick the loot when we walk on it.
Hmm...grinding mobs...like...von 5 puzzle room...infinite respawns...infinite grind...hmm...they just might wanna think about that...