You want an all male (Cotswold) side, try The Morris Federation it gives details of gender & types of Morris. Click on County List & choose your area, websites are listed. http://www.morrisfed.org/mf/home.html
Or go to http://www.themorrisring.org/. Click Sidefinder & choose your area, this gives websites, you'll find out the type of Morris they dance there. (This is the same info as given on the Federation Side Finder pages ~ (all Morris bodies now work together to help/advertise & support each other).
Good Luck.
Any questions PM me I may be able to help. Depending on where in rural Gloucestershire the event will be, I know several men's sides in my area, Glos/Worcs/Warks borders.