Probably should have been a bit more specific. Me and most of my group have varying mental health problems so are not very inclined to meeting strangers. There's a GW in town and another at Cribbs Causeway but I'd recommend asking in Area 51 on Gloucester Road. They have a sizeable customer base that they know pretty well so might be able to help you out.
FWIW I have had a lot of exposure to a variety of people with a variety of mental and physical health issues, including family members and I'd totally be up for meeting you and your group, but I get that its not always easy for people to accept new people into a circle, even peripherally. Heck its often not easy for people without mental health problems!