It’s a total aside to the question you asked, but take a look at getting a Harmony remote to alleviate the 3 remote problem and simplify using your setup for the non-audiophiles in the house. Even the mid-level models can do a great job of making things easier for the wife and kids, but they have more expensive versions that include built-in app control and lots of ability to customize for your setup. They sell refurb versions for a discount on amazon and I’ve had good luck so far with them. This won’t fix any connectivity issues but can possibly take the requirement of included app control off the “must have” list and improve your current situation quite a bit for way less money than you are planning until you find an all-in-one that checks every box and fits your budget...plus I think room correction and airplay are rapidly evolving tech that might be much better if you delay until you really need new gear.
I used to do the 3 remote juggling act until a new puppy got his teeth on the AVR remote...after realizing how much easier life was with a universal remote that was actually good, now every AV setup in the house and two rooms at my parent’s house has gotten a usability upgrade on the cheap with a chromecast audio and a Harmony remote (mostly the non-app versions) and even my tech-inept parents love how much easier things are.
I used to do the 3 remote juggling act until a new puppy got his teeth on the AVR remote...after realizing how much easier life was with a universal remote that was actually good, now every AV setup in the house and two rooms at my parent’s house has gotten a usability upgrade on the cheap with a chromecast audio and a Harmony remote (mostly the non-app versions) and even my tech-inept parents love how much easier things are.