I'm not sure how stuck on spending 5-7k you are, but I have a cheaper suggestion that ticks all your boxes. Harman Kardon HK990. The thing is an absolute beast and has the most comprehensive HT bypass on the market, allowing you to bypass sub channels as well as main channels. This means that you can utilise the amp on-board bass management and eq for stereo, whilst utilising your AV amps on-board bass management and eq for movies and multi channel.
I've never understood why this unit hasn't got more love, as not only does it have a full feature set, it also sounds incredible and is one hell of a bargain. Will easily shame your MF without breaking a sweat...
I found that Harman Kardon's HK 990 delivered on all its promises. Its power amp is very strong and agile. Its purely analog performance, from input to speaker, is worthy of the highest-quality sources and signals. Digital sources are handled cleanly and at high (24-bit/96kHz) resolution. But most important, the HK 990 brings modern audio features to a two-channel system by providing useful bass management and effective room/system equalization. I've always believed that, given adequacy in all components, speakers and room acoustics will be the biggest determinants of a system's overall sound. The Harman Kardon HK 990 integrated amplifier not so much refutes as confirms that belief. Unlike purely analog amplifiers, it can actually improve the sound of your speakers in your room. At less than $2599, the HK 990 should be on every audiophile's shopping list.
Edited by POV, Yesterday, 11:33 PM.