Epi. But...
I have an Epi DOT that I've had for four years now, and I absolutely love it.
I think that a lot depends on what kind of music you play and how you are with the whole "what everybody thinks of you" side of things. Me personally, "everybody" can go fuck`em`self. But since I don't know you, it may be a concern.
What I would do, is what I did myself. I'd buy the Epi for $400 and get the guy to give you a deal on a `57 Classic and a `57
Classic Plus Gibson pickups ($95/each). Get the guy to come down fifteen or so bucks on the pickups. If you are a real stickler, then get all new pots for the volume and tone.
Get them to set up the guitar for you. Working on a semi-hollow body brings new meaning to pain and headache. You need special tools and little dentist mirrors etc. Make sure they raise the back part of the bridge up. The factory in Korea just screws the damn thing all the way in, and it makes the angle too great, and so you break strings left and right, directly at the fulcrum where the string lays over the bridge.
After you do all this, you genuinely do have a VERY good guitar for around $600-$650 (or maybe $750 with set up costs) Compared to $3,500 for the Gibson version. Now, don't get me wrong. The finish on the Epi is not the same as the Gibson. The Wood isn't as pretty. And the overall craftsmanship isn't like an American made Gibson.
But contrary to how it "feels", you do NOT get what you pay for with a Gibson. $3,500 is so utterly ridiculous for a semi-hollow body electric guitar. It is downright vulgar. I can somehow understand paying ($5,000-$10,000) for a one-off hand crafted archtop Benedetto jazz guitar made from European Spruce and is literally a work of art in and of itself.
But any electric guitar made by Gibson uses machined necks, and probably goes from blanks to completion in one to two days (not counting finishing.)
The Ibanez is a nice guitar as well. I just have never felt the same emotions while holding
an Ibanez as I do when I play my Johnny B. Good Epi. With the Gibson pickups my Epi has all the ass that the Gibson does. And four times that of the Ibanez.
But nothing can make up for style, technique, and ability. Always remember... You can't polish a turd.