Thanks for all of your suggestions and discussion.
I went out to the airport this morning and got ready to inspect the fuel tank to see if I could locate the rubber cap. Naturally a couple of fellow RV'ers stopped by to chat, and they wanted to help look for it too. Couldn't see it. So, I was not happy, thinking that the cap had migrated to another part of the tank.
It was difficult to see inside the tank clearly. There was about 18 or 19 gallons of 100LL in there, and it was really bright, so even inside the hangar there were a lot of reflections and movement in the fuel made focusing difficult. Well, eventually everybody wandered off to do their own work and I was left to ponder the situation. I decided that if I could get a better look I might get lucky. I closed the hangar door and shielded my head from reflections with a towel and took another look inside the tank, using a thin flexible LED light to focus on different parts of the tank. There in the back inboard lower corner of the chamber, I saw a dark circle which I took to be the opening for the fuel to drain to the next compartment, but as my eyes adjusted to the light, I began to make it out as the rubber cap-- which was blue, like the fuel. I got the grabber tool, and after slowly familiarizing myself with the feel of the tank, and making about 10 attempts, I finally snagged it! What a load off.
I don't think I'll ever make that particular mistake again.