$2000-$3000 integrated with DAC ???

I really like Peachtree's iNova (~$1800). It has 6 total digital inputs: 1 USB, 2 Coax, 2 Optical, 1 iPod dock. 80 wpc amp, and a 32 bit Sabre DAC. (The previous incarnation had the 24 bit Sabre chip). Above your budget, but probably eventually available used would be their Grand Pre Integrated.

Bel Canto has 2--

C5i (slightly less then your price points) and the newly introduced C7r.

***Bel Canto dealer disclaimer***

If you want to save up some more money there is the new ModWright Integrated. You can get it with a built in DAC. I have nor heard it but may be worth looking into.