If you like the Note size, I'd recommend the Optimus G Pro. As a 2013 phone, I imagine AT&T is practically giving them away now. It does come with LG's less than optimal skin of Android 4.1. But if you're not afraid of doing a little work on it, Cyanogenmod 11 runs brilliantly with full USB audio support. In some ways, it's better than a Note 3. Here's my breakdown:
1 - Better screen. Overall, this is subjective. But the OGP definitely has a sharper screen. I'm not talking about the slightly higher pixel density. I can still see pentile fuzzies on the Note 3, which is annoying.
2 - The absolute best notification light yet made. With Cyanogenmod color settings it's even better.
3 - No heinous fake leather. This is a subjective one, to be fair. And there must be replacement back covers for the Note 3 by now.
Note 3 pluses:
1 - Its Snapdragon 800 processor is considerably more powerful than the 600 used in the OGP.
2 - I suspect battery life is a little better.
3 - If you care about a stylus, the OGP doesn't have one.
4 - If you only run stock roms, Samsung is much better about updates.