In November 2004, I cruised with the Glenn Miller Orchestra. Radisson Seven Seas (now Regent Seven Seas) usually has a big band theme for their transatlantic cruises in Spring and Fall. In addition to the great entertainment, these are usually two for one cruises.
"The test of a first rate intelligence is the ability to hold two opposed ideas in the mind at the same time and still retain the ability to function."
F Scott Fitzgerald
Silversea Silver Explorer (23nts) - Kangerlussuaq, Greenland - Nome, Alaska - Aug 14
Seven Seas Voyager (30nts) - Dubai - Cape Town - Nov 14
I searched Ballroom Dancing Cruises, and several different groups were listed. They tend to book blocks of rooms on various ships that we all cruise on including the Queen Mary. So, reservations are made by reserving the date on a specific ship listed. There are also escorts with these groups to provide partners and some instruction. I'm sorry, I don't remember the specific group names, but they shouldn't be hard to find on a search.