Find the perfect KVM Switch for a 10in Rack

I'm looking at building a mini rack, and I really want a KVM Switch on there - ideally to use with my [JetKVM](https://jetkvm.com/products/jetkvm) for remote access.

Must have Criteria:
- At least 4 ports, ideally 8+
- HDMI (vs. DP or VGA - requires fewer converters)
- Hotkey switching
- Less than 8.5" wide
- No special cables
- Not outrageously expensive - at $300, it starts to make sense to just get separate JetKVMs

Nice to have Criteria:
- EDID emulation (remembered or forced) - machines with a desktop OS wouldn't have to redetect the monitor
- RS232 Switching - in theory, this could be better than hotkey switching. Throw a Pi Zero on there with either a very simple webapp or CLI app, or possibly the [JetKVM Serial Extension](https://jetkvm.com/products/serial-console-extension)
- LAN Switching - in theory, this could be better than hotkey switching. In practice, vendor LAN implementations leave something to be desired (the something being any sort of decent security!)
- Less than 1.75" tall (1U)
- USB 3.0

So far, I'm looking at:
- [Reyoten 8](https://www.amazon.com/Computers-Monitor-Reyoten-Devices-Switches/dp/B0FNRB3PLL): 8 ports with Hotkey and USB3.0 in 1U... but no EDID, no RS232 make me wonder if I can do better
- [CKLau 4](https://www.amazon.com/CKLau-Control-Computers-Keyboard-Switching/dp/B07HRBBLWN): only 4 ports with Hotkey, EDID, and really small... but no RS232 and only USB 2.0... also, this brand's reputation isn't the best
- [KCEVE 8](https://www.amazon.com/Switcher-Support-Keyboard-Compatible-Windows/dp/B0GD4M6THV): 8 ports, Hotkey... but USB 2.0, no EDID, no RS232? The Reyoten is likely a better option

Updates:
- I was taking 10in too literally - whoops!