Hi Bill and Nancy,
We live in a parallel universe or at least parallel Olivers. You have pretty much described everything I've experienced with mine from the troubles beginning while driving it home to WY, to being denied service at a couple of Dometic service centers. The random frequency of the clicking drove us to buy electric heaters and just shut off the furnace. We have Hull 1260 and I probably picked it up a couple of weeks before you did yours. However, I didn't do all the data acquisition you did (great Job BTW). I too am frustrated with Olivers response, "just take it to a Dometic service center", which as you said many don't service Olivers.
I have a promising lead with an independent repair shop in ID which ONLY does sales and service service on RV equipment and add ons, not an RV dealer. I'm putting him in touch with Ollie service (at his request) and hopefully he will fix it. He diagnosed it over the phone as the control box in the AC unit which clicks frequently and randomly.
I will try the other recommendations by Chukarhunter as well as the link to GAP's thread.
I would be interested if anyone has put a list together of those places who WILL work on Olivers, or I'd be willing to work with some folks to put a list together. I am a competent DIYer, but warranty work is supposed to be done by "qualified folks, right?