Since we're going down this road - have you considered getting a standalone preamp/ processor and a separate multi channel amp? Would pretty much give you the best of both worlds, and there are some killer deals on prior generation preamps/ processors that would give you all the inputs and routing options that you could dream of. In your price range a used Onkyo Pro PRSC-5509 would be a reasonable choice as would others.
The bad news here obviously is that you would then need a multi channel up to run it through to your speakers.
The good news is that processors and their AVR siblings depreciate immensely every time a new format video or decoding format comes out so at least you you would have the freedom to upgrade the processor when the time comes and still have an amp that would never really become obsolete.
Wish there were a simple silver bullet here.
Greg