What kind of incidents are you referring to, out in the countryside? I have ridden all over my area, and i think I know most of the good roads within 50 miles or so, and a lot of them up to a 100 mile radius, and have never had trouble bad enough that I had to call home for rescue. A guy with a pickup truck once gave me a ride to the next town, though.

Have you checked out the local randonneur club? I believe there is a pretty active club in your area. Randonneuring is a good compromise between riding alone and riding with a group-- i often spend most of a ride by myself, but knowing there are other riders doing the same route is a comfort.

Couple weeks ago I was on a brevet... i passed another rider who was fixing a flat. He had found the tiny wire that cause his misfortune, but couldn't get it out of the tire. He needed pliers, which he did not have. But i did. I lent him my pliers for a few seconds, then i was on my way again. He passed me fifteen minutes later.

About half way through the ride i fell in with another rider whose speed matched mine pretty well, and we finished the ride together.

I am tired of the driving, though. Driving 100 miles to the start of a ride just doesn't make sense to me. I think I will go back to riding solo centuries.