Cheaper to keep her.
Steve,
Good for you, wrestling with the model instead of just pitching it. Oddly enough, it seems that almost anything will remove model paint whether oil-based or acrylic. Here are several choices (and there are dozens more out there):
Castrol Brake Cleaner - comes recommended by none other than Dave Metzner. It's avaialble in quantity at auto parts stores. Find something like a disposable foil turkey pan or a cheap plastic box - any waterproof container large enough to hold your model. You soak the model in the Brake Cleaner for a few hours, then scrub off the paint with an old toothbrush (which you'll need with any remover). The great thing about this material is that it's reusable.
Easy Off Fume-Free Oven Cleaner - Nastier than the Brake Cleaner. Put your model in your container, then spray it with the Oven Cleaner. Cover the box and wait those few hours for the paint to soften, then scrub with the toothbrush. You should wear gloves, goggles, and a respirator when handling this stuff or any of the other removers, for that matter. You might have to give stubborn spots a second spray, or hit 'em with -
Poly S EZ Lift-Off - Which works pretty much like the other solvents. It may damage delicate plsatic parts, so I use it sparingly. Be aware that all these solvents will remove any putty as well as paint. Also, don't soak your model in them longer that overnight, or the removers may attack your glue joints also.
Good luck!