Out of the two, which would you say is the most versital, considering you have a great amp.

I play all kinds of music, and i cant choose between the two thanks in advance!
the epiphone, all les pauls (no matter if it's a gibson or epiphone) are one of the best versatile
and all around best kinds of guitars =)
I'd probably say the Ibanez. It handles metal a lot better than the Epiphone, but it can still handle other stuff. Plus, it has far superior fret access to the LP.
Bands to see before I die:
Iron Maiden
Foo Fighters
Reel Big Fish
Streetlight Manifesto

Epi LP Standard
Washburn Strat
Line 6 Spider (Yes, I know it's bad)

Ibanez RG3570Z
Digitech Whammy