Experience tells me that women will join a team with me, but men are far more likely to join a team that's mostly women.

Mostly women, or mostly men? I'm confused, since the implication of your later paragraph indicates you needed a bloke for the publicity, which seems the opposite of what you said above. I'm confused.

I understand the folks who want to stay shielded; I don't plan on attending any public events until after I get my second jab.