About Coupe de Nice, Flatt and Baga are the logical choice if the objective for the assignment is to "spread the wealth" in terms of assignments, experience and ISU points. But I agree with kwanfan1818 about not sending any - plenty of ladies have already met the minimum scores and neither Flatt nor Baga can seriously challenge them for top ten anyway. They have neither the technical nor political prowess to command high TES / PCS.
On a more long term based decision, if someone must be sent, I probably would send Cain again since she doesn't have GPs but has skated well and medalled in her assignment. (Hicks would have been the clear choice if her GP didn't conflict)