Yes, the JR is great, a friend o'mine has a white with a single P90, it's a rock'n roll beast!
I have tried the Epi once... great tones... specially with drive, sounded pretty close to a real LP.
I know that the JR (at least the one of my friend) is a better guitar than the Epi... but it's not a "classic" LP.
Regarding trying guitars in a big store, it takes me time (weeks or months) to say if it sounds great or not.
I haven't tried the Faded Studio made all of mahogany (without maple top), that are pretty cheap in the used guitar market, I guess they sound pretty close to a real LP, don't they?