As someone that works in AV for exactly your type of scenario… you unfortunately won’t find anything that supports >1080p60 for under $500. That type of video bandwidth is at a premium for switching on KVMs, matrixes, eg. Good USB 3 support is unfortunately expensive, too.

Expect lots of noticeable lag, too. Switches aren’t engineered for gaming yet.

I don’t think they’ll come out publicly with the full extent of what is used, but basically everything.