You must look into the Lyngdorf 2170. An amazing piece. Neal over at Sound Science can tell you more. We both replaced separates costing over $20,000 and like the Lyngdorf better. It has a DSD dac and SOTA room correction. Your wife will love the way it looks as much as you love the way it sounds. Will will not find a better one box system anywhere near its price.
No need for sound panels of any kind as all the room treatment I have tried over the years is not as good as the room correction in this unit.
You didn't specify a price limit but have a look at the Simaudio Moon ACE. At $3,500 it would seem to satisfy your requirements, multiple inputs, streaming from almost any source with a very smart remote control. My listening with a pair of NOLA Boxer S1 speakers was very impressive.
sfar has a great solution, the Moon ACE. The price has just dropped to $2,900.00, and I've been told by Moon that they will upgrade to MQA in early 2018. I'm buying one from a guy in Baton Rouge, Louisiana, where I used to live. Check him out. His name is Jeff at www.audphi.com. Tell him Paul in Las Vegas recommended him. :-)
I heard this unit the Synthesis A40 Virtus 40W tubed integrated some months back at Deja Vu Audio it sounded fantastic and has a built in Dac. Not sure the exact price but somewhere in the neighborhood of $5K and a really well built great sounding piece. And it's 17" deep so you're good there!
I use a Macbook Air to stream Tidal via ROON (which now has native Devialet Air streaming) over wifi, thus my Macbook is in another room entirely and avoiding any cable issue at all. Works amazingly. User control is via the ROON app on iphone or iPad. My ripped content is on a USB HD connected to the MacBook. I'll probably upgrade to an Intel NUC running ROON ROCK shortly. Wireworld Silver Electra 7 power cable to the Devialet and a pair of Analysiss Plus Solo Crystal 8 speaker cables. Done! No bluetooth or Airplay though both should be in the new Expert Pro streaming board due later this year. No that you need it.
If you're so inclined the ROON will do all the latest DSP too - and a LOT more. Multiroom, multiple sources etc etc.