The following suggestion probably won't work for theducks' considering his indentured servitude to
Felis silvestris catus, but for anyone else it might work.
Open and remove the side panel of your computer case, permanently. Go ahead and toddle off, placing the unecessary part in the basement or attic or somewhere out of the way. Place a box, or window, fan of some sort near the opened side of the case and turn the fan on. (Note that a table- or desk-top fan isn't sufficient as it doesn't cover the majority of the side of the case.) You can direct the air to blow into, or out of, the case; blowing outward is better as it helps to prevent dust buildup.
If you're even a bit electrically capable, you could try using the radiator fan from smaller vehicles instead of a box/window fan. This has a slight advantage because, even on the lowest setting, most box/window fans are going to have more RPMs than you need. This might create a "drafty" feeling across your extremities. If you're particularly adept perhaps you could create a variable speed control.
Anyway, random thought.