So this thread has seen the future, as a few days after reading and participating in this discussion, I got a screw lodged in one my tires (of all things a machine screw with a blunt end). It was smack dab in the middle of the tread on a rear tire, so I went ahead and plugged it. I've been keeping an eye on it, and so far over a few days, it is still holding the proper air pressure. This will be a good experiment to see if it will hold, I'm not too concerned about a blow out, given the location in a rear tire.
BTW, I used a 1.5T scissor jack, and I think that was a bad idea, it was creaking and straining when lifting the car. I'm going to get a 2T jack to replace it.