Do you have a NAS? It can be a good way to get decent functionality without extra hardware, especially if you're doing proof of concept or temporary stuff.
My self-hosting Docker setup is split between 12 permanent stacks on a Synology DS920+ NAS (with upgraded RAM) and 4 on a Raspberry Pi 4B, using Portainer and its agent on the Pi to manage them. The NAS is also using Synology's Drive (like Dropbox or GDrive) and Photos (like Google Photos).
I've had the NAS running servers for Valheim and VRising in the past, but they require that fewer containers be running, as game servers running on Linux usually have no optimisation and/or are emulating Windows.
If I decide to host a game server again, I'll probably look at a NUC. I've done the DIY mini-ITX route in the past (for an XBMC-based media centre with HDMI output) and it was great, so that's another option.