The two camps are not that far apart of we narrow things down a little. For example, an integrated amp at the >$2000 range would likely sound audibly better than a $1,000<7.1 AVR, but a >$2,000 7.1 AVR such as the Marantz SR-7XXX, AVR-X4XXXW, Yamaha RX-A20X0, Anthem MRX-7X0 and models above them, would likely sound as good as a $2,000 integrated amp.
Also, the AVRs I listed all have decent bass management capabilities. The MA Silver 6 may be marginally okay in your relatively small room, but for optimum performance and to make them sound not "bright", you really should consider adding one or two high quality subwoofers. When you do, the AVRs, with bass management and REQ features, will get you further ahead.
So far I am only talking about sound quality related issues, the typically better DACs in those AVRs, connectivity, and ability to play all sorts of digital files are additional benefits. I know it sounds odd to use a 7.1 AVR to do 2.0 or 2.1 but it is really a good practically solution. I have compared my old Denon to my much more expensive separates; and if I close my eyes to focus enjoying the music, I can live with either one.