Your dealer is correct in that the factory hitch is discontinued. One or more of the members may have one laying around that they have removed. you can also try Reese or Valley Industries(the original vendor for the factory hitch) or Drawtite. If you have a large trailer supply house or U-haul service center in your area those would be good places to check with as well.
I bought a Draw-Tite for my '96. It bolted up to the captive nuts on the LC frame. No drilling or cutting. I liked the Draw-Tite because it is welded together as one piece. Some of the other manufacturers sell their hitches broken down into 3 pieces for easy shipping. You slide the 3 pieces together. Welded sounded better to me.