Steve,
1. There are extension USB cables, usually 6 feet long that can be used for both wired & wireless mice.
My wireless mouse has a small dongle that can be plugged into the USB extension cable and positioned anywhere I think it needs to be to be aimed at the distance mouse.
2. If you have
an iphone or android, there is what's known as 'Touch DAW', which I believe is free or just a few dollars, at least for the android, that can control your DAW from a distance.
3. What about a wired or wireless keyboard?
Usually play & record are button presses on the keyboard, which would be even easier using the same process as the mouse.
4. Lastly, you can buy & change quite easily your computer fans to ultra-quiet ones for just $10-15 each. My rig only uses 3.
My very sensitive Neumann TLM 103 sits just a few feet away from my rig, and I don't hear a damn thing, even pre-amped.
Lot's of options to try. Just make sure that anytime you open up your computer case to look or work inside, you unplug it, and touch the metal components before and always prior to touching any circuit boards, no many how many times.