Definitely need to look at the T+A line. I had a similar setup to yours, and needed extensive connectivity. I wanted to use a high-quality integrated both as a stereo system for "critical" listening to my sub-enhanced Harbeths, but also as the FL/FR/LFE driver for a 5.1 home-theater. The R 2500 R, the company’s current $19K flagship integrated had every feature needed for both those applications and, as icing, is sonically impressive in every way. Even the headphone amp and phonostage punch way above for a sub-$20,000 integrated.
I realize that this is out of your price range, but T+A makes a # of less-expensive integrateds that offer similar connectivty and not-unsimilar SQ. T+A is only beginning to be known here, but is a huge name in the Eastern Hemisphere, especially for its unique DAC/streamers, amps, and preamps. I think that these boxes would fit your requirements as well as anything, with Hegels and Ayres running a close second. As you might guess, I spent months comparing $5-10K integrateds in great detail, before finally being so wowed by the R 2500 R that I wound up springing for a box that cost twice what I’d originally intended to spend.
Re: dealers, I worked with Juan at Bliss HiFi in MN (not to be confused with other "Bliss" dealerships across the US). The guy is very knowledgable about T+A, being one of the company’s first US retailers, and is a nice guy to boot, always willing to answer questions at length.