I like the name of this weekly LBS ride

Susan B's "Don't Pass Me, or Else!" Road Ride
Monday evenings, 5:00 pm. This 1 1/2 hour social road ride is open to women and well-mannered men. 14-15mph average.

Others are:
Jacob's "I'm not a Racer" Beginner Mountain Bike Ride
Eric's "I'm not a Racer...Anymore" Intermediate Mountain Bike Ride

You might consider Irulan's event-based ride ideas and make the titles funny, incorporating speed and no-drop expectations. As far as I'm concerned, anyone who passes Susan is no longer part of that day's ride and no one is required to keep track of them.

The 2nd tells you that skills and speed are low, and the 3rd tells you that the pace requires aerobic fitness but expert skills are not required.

All the titles are more welcoming and friendly than just "Wedneday Night Ride."