Unlike the shows mentioned in this thread, Dames At Sea is a spoof, more like an intentionally low-budget The Boyfriend than anything else.
It has a terrific score, usually done by 2 pianos and percussion (although the cast recording has terrific orchestrations by Tunick, these would drown out the small cast), and it really ought to be done by a cast of 6, or there's no joke, and therefore nothing to the show. It wouldn't hold up without the spoof aspect.
It's also not a dance fest; an Off Broadway revival in the late 80s added tap for the three men in the title tune, but it's not in the score as is. "Wall Street" has a short solo tap. "Choo Choo Homeymoon" has a brief duet tap break that should be used in a comic way to show the progress of a honeymoon and married life; "It's You" and "Something About You" have Fred and Ginger ballroom dances (also brief). "Star Tar" is the biggest tap number in the show.
Of course, additional lengthy dance sequences could be added, but other than empty spectacle, what would they add to the content of the show? How would they make it funner? (And the show, as written, is almost all about the comedy.)