I was just thinking along similar lines.
I think I would explain to her a bit more about daddy and how he operates. explain it has nothing to do with her or how much he loves her, he just isn't capable of looking after a child or another person. it can be done in a way that's not biatchy just sharing things with her.
I am assuming this is part of the reason you aren't with him?

I would also write down the min standards and requirements he needs to meet to have her vist.
so he knows. its not hard to do a delivery order at the supermarket online (if you live in a city). he's gotta lift his game up.