I have a epi les paul custom that I love and for awhile I've been wondering if its a possibility to have a Floyd Rose installed on it. I'm not sure if this is possible being that it doesn't have a flat top. Can this be done? If so I wouldn't be doing it myself and would there be holes that need filling from my existing bridge and stop bar? Is this too far of a stretch as for customizing?
Current Setup

Schecter Blackjack C7
Epiphone Les Paul Custom w/ EMG 81/85
Peavey 5150II Head
Peavey 6505 Cab w/ two Eminence Texas Heat
Epi PR5-e
Hot Rod Deluxe
not at all...
but it would be a costly process i'd say.
its not too unusual for LP's to have floyd rose systems...
but i cant be certain about a carved top