^^^ At that age she doesn't need and probably won't benefit from extended alone time with her dad. Twice a week seeing her during the day with her mum there would be perfect for the child, as she would get used to being around him, could still be breastfed, and it wouldn't be a frightening transition. I mean, how many would be outraged at the thought of a child (even a FF one) staying two nights at a grandparents' house at that age. Of course I know it's entirely different as he is the child's father, but from the child's perspective it is just as daunting and unsettling. I think the cut off line for BF vs contact should be, at the very earliest, one. At this age she is still a tiny baby and it shouldn't even be contemplated; some children aren't even having real solids yet!
Anyway, he doesn't need the child overnight. It isn't true quality time as she'll be asleep- if he wanted to be around for bed time he could likely make arrangements to take part at the mother's home after dropping the baby off. Even if he had her all day and she missed a midday feed (we could likely be expressed), that would be a much more reasonable solution.