Luke,
In modern square dance a left hand star without hands is simply called promenade inside. By definition a right hand star w/o hands would be a reverse promenade inside. Both would take 8 beats/steps to accomplish in a square, and probably close to eight beats in a mescolanza.
I do not quite understand your comment about the women, as they will all have to adjust there walk around to accomodate for the last women into the "handless star" or promenade.
Unless I am misunderstanding your concept, this does not resemble a dosido in any fashion, and I believe using that term might muddy the use of Dosido and As Couples Dosido.
Rich Sbardella
Stafford, CT