Daycare is within the realm of child care, not education. Absent something to the contrary in the court order, parents are normally able to choose their own child care providers for their own parenting time.
It's difficult for me to picture your ex- inconveniencing herself with a 3-hour round trip to and from daycare, so that suggests to me that the change of daycare may be associated with her moving to a different town. What's the context?

