I went down to New England Photo this afternoon and learned that zarthon's assessment of how much my camera will cost to repair was much more accurate than mine, and unfortunately the cost of getting my camera fixed is well over what I can afford to spend. On faith that it will be fixed, I bought the new lens cap I've been needing.

I'm going to see if I can repair the problem myself without taking the camera apart. There is at least a chance that I might be able to get it working and the risk of breaking the camera further is relatively low as long as I don't actually pry it open. Christian suggested swabbing the prongs in the battery case with alcohol. If that doesn't work, I'm going to attempt ti gently but firmly reposition the prongs. I have a few other ideas up my sleeve, but if none of that works I'll have to reassess my options.