Yes. You won’t have to deal with setting up USB passthrough in proxmox, nor will you run into USB interference issues.
Ethernet on the MiniPC gets connected to the router. Same thing for your coordinator - that is also connected via ethernet to your router. If you don’t have enough ports on your router, get a small network switch - bonus points if you get one with POE so you can power the coordinator using a single ethernet wire.
Use ethernet and you should be good for over 100 feet.
PS. If you need a complete guide for installing proxmox & HA, I would start here