It has been suggested that the polyamorous chimps and bonobos employ promiscuity to promote group bonding- and if you think about it that should pretty well do it. When it comes actual reproduction purposes selection still applies. Alpha male and all that. This is my understanding but that is as far as it goes. I am not a scientist and have not studied primates. I have stayed at a Holiday Inn recently I should warn you, though.
I will be stcking with sexual selection as valid until overwhelming contridicting evidence presents...could happen but wont be holding my breath. Is there published work by someone who otherwise agrees with evolutionary theory but agrees with your position? Dont knock yourself out, but id like to give it a gander if it exists.
We just discussed the sweat gland, thick hair, toothshaped, breast size gene ~ it's not particularly different in mice! However, there are a gazillion Dr. Feelgood stories out there about how evolution through the mechanism of sexual selection selected for women with large breasts ~
That idea has been laid to rest ~