Groups can be good if you want the social part. May take trying a few to find a good fit. And it does require dealing with a group of people. Like any club, etc., you may find cliques and such.
I do belong to a clipper club. I've found it enjoyable to go to their rallies about twice a year. They do them every month - as a social get together. I go to the main two rallies and visit as the club is very helpful for clipper knowledge, etc. I also am their webmaster so I am a "useful" member.
But their social get togethers is not my style of "camping". So the rest of the time, I go out on my own.
I do have a female friend from work who has an RV and a male friend from the club with a clipper who both enjoy my type of camping. They will often meet up with me on my trips. We all have slightly different interests and different levels of "socialness", but it works well as our interests overlap nicely and we are all happy to "do our own thing" over the course of the trip.
So don't be afraid to talk to friends and try a group or two on occasion. You might meet up with someone who would make a good camping cohort at times.
And don't think you have to stay attached at the hip or do things you don't enjoy or only camp with other "like-minded" women.
One of my most frequent camping companions is a man I met through the clipper club. Like me he isn't big on their style of camping. He likes to fish - I don't. I like photography - he's not into it. When we meet up camping, we go do our own things throughout the day. Visiting at meal times and in the evening. He's social and will have met everyone in the campground and know all their stories. I may not even notice anyone else is around. But we have a really nice time when we camp because we give each other room and don't make demands. His wife doesn't like to camp and he prefers to have a camping companion. His other friends often can't fit a trip in - so he will join up on one of mine to get his camping fix. I always tell him if there will be fishing opportunities and if his boat is necessary or not.
1975 American Clipper RV with Dodge 360 (photo in profile)
1998 American Clipper Fold n Roll Folding Trailer
Both born in Morgan Hill, CA to Irv Perch (Daddy of the Aristocrat trailers)