C.I don't know what a good new gas furnace costs these days. This one was something like $5k 17 years ago, and they won't have gotten cheaper.
Other than the #melted relay, I can't find any #problems with the board. There could be invisible breakage, but maybe not. So I'll replace the relay.
Of course, the failed relay is no longer available, because it was produced under the Proliferation of Hazardous Substances Act (#PoHS).
7/x