So I tried again today to burn a CD after my last failures a month ago...and it worked! Once. I tried burning another disc and I got the same problem as before–my machine freezing up. I can't put it to sleep like was suggested, because the whole machine is frozen, so I have to power off.
I've been able to use the free program Burn to make CDs without problems. It works fine; no playlists, though. If you click and drag a playlist from iTunes that is made up of tracks from multiple albums, it won't keep the tracks in the same order (depends on how your original list is ordered)...so you might have to reorder them to match your original list if that is important to you. But at least it works fine!
Also, when I reopened my iTunes, many playlists were gone, and some of the music clearly in my iTunes library wasn't actually in iTunes, so I had to re-import the tracks. I'm not sure what's exactly not there, but I know the last few discs I got from eMusic were not in the library, even though when I opened the library, the tracks were there. If that makes sense to anyone.
Paul