My car was a mission car, too. 1998 Escort. I *LOVED* it. Loved, loved, loved it. Never gave me any trouble, great gas mileage, and the Chicago North mission really takes good care of its cars. I think Cavaliers are just slightly larger than Escorts, but the later models really are reliable. But they stopped making them in 1999 or 2000, so missions wouldn't have them anymore.
But I would recommend checking out what the other local missions have. If--and that's a very big if, as missions vary--their maintenance was good, you'll probably find the best deal through them. They're supposed to keep a maintenance record (which you probably already know, having gone on a mission), so you can check whether they've kept up with the oil changes and the tire changes, etc. Boston mission doesn't do so well--the cars I test drove here were in really bad shape. But you don't get the horrible winter weather we do, and your roads are probably in better shape, so the cars are likely to be much better.