I agree with the folks who say to lead your own beginner ride...that's what I did. :D
Our club had a beginner-friendly ride on Sundays that I enjoyed, but I couldn't always make it because of church obligations. All their current Saturday rides were too fast, so I just rode solo Saturdays every week. When they asked in one of the meetings for volunteers to lead a Saturday beginner ride and there were no more-experienced takers, I decided to go for it. I had no ride leader experience, and only a few months' group riding experience, but the group leaders from the Sunday ride were really helpful with my route planning and getting the ride started. There was a month or so when I didn't have any riders, but then they started to trickle in after that, especially as the weather got cooler. Another woman in the club tried my ride a few times and decided that it was too fast/long-distance for her, so she now leads an ultra-beginner ride that takes a shorter version of the same route. We all start out together, then the two rides split up at our different paces.
It's been over a year now, and I think it's one of the best things I've ever done. It's really helped me to feel part of the club in a way that I didn't before. I've met a lot of great people, seen a bunch of riders gain confidence and speed to move on to the faster rides. That's always kind of bittersweet...thrilled that they're moving on, but sad that they won't be riding with me every week anymore. :o
Anyway, all that to say that leading a ride is not at all hard...all you have to have is a a willingness to show up and ride every week (or every month, or whenever you schedule it), a little bit of basic riding/safety knowledge, and someone more experienced to help you get started and help advertise the ride. If the club truly is trying to bring in all kinds of riders, I'm sure that the club leader would be more than willing to help.

