Agree with the suggestions above.
A couple of other thoughts.
1. Don't write off the the racing oriented-clubs. They often have club runs that are a lot more sedate. For example, while my club tends to have pretty fast-paced ones, I believe that the other local club has runs which are more akin to a CTC ride, with a more sedate pace and cafe stops. I think these runs are more for the older members who no longer race but make up the majority of membership. Other clubs have different grades of ride - one for racers and one for those who want a more gentle pace.
Also, it really is pretty rare to be dropped on a ride. Most people who are leading rides have a bit of experience and will at some point have ridden in groups where they were the slowest, so know what it is like.
2. Bike shops often organise local rides. I know of a couple who do near me. Worth seeing if yours have a notice up, or asking someone.