Most Gr 1 wins by a female against males

[Calzone Lord]

Who holds the record for most American Grade 1 wins by a female against males? It obviously has to be a relatively low number, but I'm certain it's higher than 3 (which I know several different females have accomplished)

I know Black Caviar has 11 Group 1 wins against males -- but 10 of those came in Australia and grass sprints are a bigger deal there than everywhere else.

Miesque ran in 10 different Gr 1 races against males -- she won 7 of them with two seconds and a third. She only ran twice in America, the first time she won the Breeders Cup Mile by 3.5 lengths over 13 others. The second time she won the Breeders Cup Mile by 4 lengths over 11 others.

Goldikova has 9 Gr 1 wins against males -- but not quite as impressive an overall record as Miesque's.