I suppose I might be able to run something if you needed it.
I've got a server tucked away in a furnace room in a basement that's always connected to the internet. Doesn't matter if it makes a bit of noise down there. Typical uptime of a few months, but not super reliable. It sometimes restarts if there's problems with the power, as would most of the networking equipment, plus it's on a dynamic WAN IP, so I don't really use it for anything other than client purposes, (other than LAN services where the IP is static). I also have no monitoring so I don't know when or if it went down. Although I do tend to check up on it for various purposes at least once a day or so.
Only thing is, it doesn't run Linux (and it doesn't run Windows). Plus, it's only 120 MHz (or maybe 166 MHz, I can't remember anymore), so it can't really do anything to processor intensive.