$1600 should get you pretty darn close to a new 7VWH or SBL through Rich at Ibanez Rules. I'm not sure what the new FP goes for (Rich can get you those, too.) I think those are really neat. There's fewer SBLs around (though far from rare) than WHs. And I suspect there are even fewer FPs than SBLs.
If you want to buy secondhand, $1600 should get you pretty far. If you haven't looked at Ibanez Rules yet, you'll find he sells used as well. There are the other usual options i.e., guitar shops, evilbay, etc. You just have to be careful what you buy and who you buy it from--in my area I've only seen two used JEMs EVER in local guitar stores. One of them was in rough shape and the other had something strange done to its neck.
Except for the occasional lunatic browsing the forum, I don't think you'll find anybody who'll say anything bad about Rich (except his nextdoor neighbor's kid
-- besides, he might beat us up if we did!) Seriously, plenty of us have bought guitars off him.
Finally, I think you'll find that the JEM would suit your needs as far as your jazz playing goes. I'm no jazz wiz, but I play some. The JEM will do it just fine. I heartily recommend that you buy as many guitars as you can, but if you needed to trade the 535 to make the JEM more affordable, I think it'll suit your needs.
OK, one more thing. I've never seen a swirled DBK, but I'm not so sure about that idea. I'd want to see one before I had one done. The one question mark I have in the whole JEM line is the DBK anyway. I never did understand that guitar. Enough said, someone might get mad at me. See ya.