In NH you can only belong to one county at a time, but as many clubs as you'd like within the county. We don't get any money from the county or state for programming, so we do our own fundraising. We raise around $1000/year, and purchase or borrow equipment.
As an organizational leader I got tired of trying soliciting appropriate meeting venues and dragging supplies, so we started meeting at my residence a few years ago. It works out better for our members too, as we are centrally located. We keep our sweet, gentle dog crated during meetings because there is just no place for a dog under foot in the organized chaos that is a project meeting. Some people have phobias, others are allergic, and that one is also aggressive. That wouldn't be okay with me or my county extension staff. I'd call to seek assistance.