Well, taking all of the comments into account as well as some more research I did, I will post my course of action and also make some more notes so that this post can be searched and solutions found in the future.
-Generally, plants are at risk only from severe infestation (i.e. leaves turning yellow and falling off). Spider mites favor water-stressed plants in low humidity circumstances (i.e. the average sunny windowsill's humidity), so keeping your plants healthy is the first step to limit predation (they favor my lithops and myrmecodia over the water-laden CPs... I've also kept a "moat" in my CP container by filling them constantly to the soil surface and drowning anything I can't already kill above ground). Also, older plants fare better than younger plants. Mites can kill seedlings very fast however, which is why I worried.
-Rubbing alcohol on a Q-tip works very well to kill quickly.
-Press your fingers on the over- and undersides of the plant leaves, squish all bugs, and slide your fingers out to the leaf tips to smash anything on the plant. They nest under the leaves, so anything seeming like it has eggs should be clipped off and thrown outside.
-I used a combination of the above two techniques about 3-5x daily and the problem has been drastically reduced.
-Mite predators live outside. Putting plants outside should, at the very least, enable you to take some predatory mites back inside with you.
-Quarantine infected plants. I grow in empty grocery store yogurt/sour cream/ice cream containers with lids on them. The benefit works two ways: I can clamp the lids on infected plants to keep mites from spreading, and I can also lid the uninfected plants.
The process was labor-intensive, but it has seemed to work for the time being and in about a month or so the plants will be moved outside to enjoy the warm temperatures and the mites will no longer be a problem because their predators will keep them in check.
Hope nobody else gets these nasty buggers.
NaN--The CO2 trick seems great, fast, and cheap. More CO2 in the air even makes your plants grow faster (commerical GH owners use that trick on a larger scale). However, for tropical plants (when I get the time and spare plants I will experiment with it someday) wouldn't the dry ice lower the temps in the container beyond what they can stand? Also, you might just be building a big plastic bomb (I used to put dry ice in 2 liter coke bottles as a kid and they can be pretty potent). Like I said though, it's too intriguing an idea for me not to try it out later and I'd also like to know what your experience with using it is.