I have a very similar setup: an old PC with lots of big disk drives at my mom's house.
However, instead of leaving it powered on 24/7, I have it configured it to power itself on at a particular day and time every week. My backup script connects to it, mounts the disks, copies the data, and then send a shutdown command.
This way, the computer isn't running 24/7 (leaving it open to hacking attempts) , and the disks are only spinning when they're in use. It also saves my mom some money on her power bill :)
Just to be safe, I still have the PC plugged into a UPS.