I ended up buying a “mini-PC” as my router. It’s quite a bit over your budget, and you’d need an AP of some kind for WiFi. I run proxmox on it, and pipe the NICs through to my OpenWRT VM. The performance is great, and given it has 2.5gbps NICs, it’s somewhat future proof. UK Amazon link to the one I bought: https://amzn.eu/d/1pqfQEk
She’s a ‘not so golden’, Golden doodle.
Nice, I went for Unifi for WiFi. I have two APs, and the controller runs on my Pi k8s cluster. They’re pretty great for gigabit speeds.