Don't forget, for short enough runs you can use SFP+ DACs and skip the transceiver bit. Honestly, reconsider if you need twisted pair, and use copper transceivers where you need to.
You're unfortunately looking to thread the needle with good, quiet, and cheap. That doesn't usually happen; if you can deal with noise, a lot of older 10GbE Arista hardware is showing up on ebay, but it can get loud if you don't have proper cooling (even if you do, sometimes). In terms of an edge router, get a cheap older (2012-ish) server, add a 10GbE SFP+ NIC to it, and either run OPNsense/pfSense on it directly, or in a VM. I've had no issue routing 10 gig traffic between networks with that setup--even when the firewall's a VM.
I use a Unifi AP AC lite in my apartment; unless you really need the distance, that'll do fine.