Quite honestly, if you're going to do that, you may as well get a knosti disco or spin-clean device. The rack that comes with the knosti is useful in itself (I know people with big fancy 1k+ cleaners who still use it...) I got my knosti for about £45, and you can make more fluid yourself pretty easily. Wouldn't bother filtering your fluid, just make sure you're cleaning 10-15 lps per go to make it economical.
*the rack with it allows the fluid to evaporate fairly rapidly, so no cloths required. I'd personally rehouse everything in polylined inners too if your budget allows.