Thanks everyone for all the help/suggestions. Here's the follow up:
Finally decided I was spending way too much time thinking about this and called Atwood/Fantastic (used the 800 number on the Fantastic web site). I had my warranty card in hand (2-year-rubber stamped "Dec 2006"). A very nice lady answered the phone (followed the digital menu-got to her on the first try-answered immediately). I explained I needed the 3-speed switch, that the fan was factory installed in my 2007 Damon, and I realized that I was out of warranty. She informed me that it had a 7 year warranty (!?) and I only had to pay shipping ($12.50) on any parts. Who was I to argue?
The down side is they are closed for inventory. Go figure. What genius would close an RV store in Spring? In any case, it will ship next week. I asked for an email confirmation, and was told that I should call back the middle of next week with my order number and she would give me the tracking number. I guess that kind of goes with them not having an online store.
The mystery component remains so. I agree that it can't be a diode, as it would have little use in a DC circuit, not to mention that the fan reverses, it is in series with the motor, and the reversing switch is before the component. If I jumper it, the fan runs normally, all 3 speeds work just fine. I froze it (upside down canned air), but it remains an open circuit. If I figure it out when the new one comes I'll post an update.
Again, thanks for the help. All is well....