Try horses, take a few lessons at a local stable. Surveys show that the majority of horses are owned by single women 40 - 50 years old. We could always use help!
A good mingler with men could be the local votech school and take some basic car care classes, or cooking classes.
I also suggest volunteering at various charities, animal shelters, homeless shelters, etc. Networking in many channels!
Live your life while you are still living. Riding the trail less traveled.