I don't have any advice as to models, but another factor to keep in mind, is air space above and to the sides. Receivers with integrated amps need to breath. At 12" deep you're not going to have any room to the rear. Cabling is going to be another issue. Even if you find a receiver that is 10" deep, the 5 pairs of speaker wire along with the inputs are going to be squished in there.

Pioneer PDP-5020FD, Marantz SR6011
Axiom M5HP, VP160HP, QS8
Sony PS4, surround backs
-Chris