How the women could run the table
One of the popular women approaches Joy or Kendra, or whoever is on the Black Team, and says "throw the challenge". Pretend you're injured or whatever, and that will let us get rid of the captain and his officers. And we'll cut you in on the treasure.
So Joy or Kendra throws the challenge.
A woman is now elected Captain. (Joe Don wouldn't be, and Louie said he wouldn't mind having a woman Captain.)
That woman now selects the two strongest WOMEN as her officers, leaving Kendra and Joy to always compete on the Red team. Regardless of which men end up on the Red team, Kendra and Joy will drag them down (either unintentionally or intentionally).
But the Captain never nominates either Kendra or Joy. She always selects men for the black spot. And men always go home.
And that's how the women could run the table.
(Of course, if Azmyth and his Officers were smart enough to figure this out and make a pact with Louie or Joe Don to always throw a challenge for a fee, then the men could run the table in the same way.)