The furnace has been fixed... and, thank goodness, it wasn't an obscene cost.  With parts, labor, and cleaning (both furnaces) I came in a bit over $300.  I'll SO take that, especially since I was worried I would be dropping closer to a grand (with my luck).  So, as I bumped into the tenant as he returned home and we were finishing up with the cleaning I learned he found a place of his own.  So... the apartment will be available again soon.  Anyone looking for a single-bedroom, furnished place in Richland?  (Prb ready mid-late October.)