Honestly, it depends on where you live. In toronto, there are occasional local ads on kijiji or fb marketplace which list it for that price.
I had the same sticker shock on Synology drives. bought a mini computer (Intel i7) off marketplace for 70$ and some extra memory. Booted up Proxmox with different VMs but will opt for TrueNAS for scalablity in the future. Can use scale to use old laptops which are laying around to act has agents to run my vms.
In hindsight, for 100-125$, you may get some old servers or supermicro PCs to run your VMs and NAS on. Which is also a good option..
Question, what is your network topology?
I assume you have a local DNS running to route your "local" requests....
Can you connect to jellyfin directly? When you try to connect to the nginx proxy. Do you get the nginx landing page?
I have gone through this whole fiasco recently and maybe able to help.