I would love to go on a tour around the country. Are there clubs that routinely book burlesque dancers, and what are some of them?
One of the few clubs I know that is specifically devoted to booking burlesque, the Slipper Room, eagerly books out of town and international performers. However, they are about to close for major renovations. There may be similar clubs in other cities, but I'm not sure.
It depends on what you want to do. If you are looking to produce shows, you will simply have to do some hard research--google performers in various cities and approach them with huge respect for entering their turf, or google and call venues in those towns--it's freaking HARD WORK, I'm in the middle of doing it now. If you are simply looking for shows to drop into, you would contact the producers of shows, not the venues, to see if they have guest performers. Some do, some don't. Prepare to hunker down! It's amazing how much work it is!
Good luck, and wish me luck with my upcoming tour. I need all the help I can get! ;)