Sounds like you are a good candidate for the outgoing (you mentioned budget is not unlimited) Denon top model, the AVR-X7200WA.
https://www.amazon.com/Denon-AVR-X7200WA-Channel-Receiver-Bluetooth/dp/B00XIG6LYC
At the current price of $1800, nothing can touch it. It has the latest sound format, Audyssey Platinum for room equalization, top AK4490 DAC (digital to analog converter) that is the same one used in the newest $4,500 Marantz AV8805 processor and the $4,000 Denon AVR-X8500H). Like the comparable RX-A3060, it has been bench tested by S&V to produce the following power output into 4-ohm loads.
https://www.soundandvision.com/content/yamaha-aventage-rx-a3060-av-receiver-review-test-bench
https://www.soundandvision.com/content/denon-avr-x7200w-av-receiver-test-bench
Two channel driven continuously into 4-ohm loads:
234.7 watts at 0.1% distortion
265.5 watts at 1.0% distortion
Five channels driven into 8-ohm loads:
122.3 watts at 0.1% distortion
138 watts at 1.0% distortion
Compared to the Yamaha RX-A3060, Denon has better looking distortion vs output graph, much lower cross talk, and marginally better signal-to-noise ratio. The Denon also has much better 5 and 7 channel driven outputs.
The AVR-X7200WA apparently has a "real" pre-amp mode because according to the online manual (scroll down to the end).
http://manuals.denon.com/AVRX7200WA/NA/EN/BIAJSYjhudqdih.php
"This stops operation of the internal power amplifier of this unit, reducing interference in the pre amplifier created by the power amplifier."
I don't believe it will improve sound quality, but it might improve it's reliability and longevity when used with a multi-channel external amplifier. I would still add at least one $10-$20 Infinity fan to help cooling it for even better longevity. This applies to just about any recent models of any brand.
With this flag ship AVR, you can definitely use a 300 WPC external amplifier to drive the big 95f only, or use the AVR in pre-amp mode by adding a Monolith 7 channel amp.
The bottom line is, your HT room, the big 95f, and the LSI9 deserves much better than the anemic RX-V863.