Asking prices are certainly up. And to be fair the FE has been extremely under valued, so some correction is understandable. Still, if you look around, deals can be had. I certainly wouldn’t toss a broken one. Maybe it’s an easy fix, or maybe it extends the life of another FE.
I see the OP is in Georgia. Seems like there ought to be a Nikon service center in Atlanta. It might be worth calling around for prices. For what it’s worth, my FE has an older service sticker from Forster’s Camera Service in SLC. They still repair cameras and lenses.
I hope you can find a solution that makes financial sense. Once I got an FE it was like a switch flipped on. It works the way I want a camera to work. The FE2 is a noticeable refinement, and totally killed any desire for the FM3A. But the FE is all the camera you’ll ever need. I’ll always have one around.