Are you anywhere near George Bush park? If so, you might be interested in Cool Cat Cycles. The owner, Katya, is very friendly and rides daily. She can probably help you find a good group to ride with or places near you that may have less traffic. She’s not a high pressure salesperson and stocks a lot of lower priced products. She mainly focuses on gravel and bike packing, but does ride road and is active in the community.
Another option is Handlebar Cyclery, on the Westpark Tollway outside 99. I haven’t been there in a while, but I know they do weekend group rides.