I don't know what's in your area, but here's a link of 3-cushion room finder from the USBA website: http://www.usba.net/tournaments/where-to-play/locations. If you don't find anything close I would suspect you could call a room that is fairly close and ask. This only provides rooms that have submitted they have 3-cushion tables, so it probably not complete.
You could also look at that site and find a director in your region and contact them for more info.