Basically you are looking for daycare. The only church setting that I know of in the area you are looking is Highland United Methodist Church - their Children's Center. Gets great ratings but often has a long waitlist. Registration opened in February so there may not be any openings left.
Highland United Methodist Church: Highland Children's Center
Otherwise, you may want to look into something like Bright Horizons, Primrose, Goddard, Montessori. They offer year-round care and have pre-K programs.
I like the Bright Horizons on Harrison Ave (just off I-40) better than the one on Corporate Center Dr. The NC State one is also supposed to be excellent.
Bright Horizons | Centers within 15 miles of 27607 | Child Care
Country Day Montessori is a full-time daycare (as opposed to Follow the Child Montessori on Ridge Rd).
Country Day Montessori School of Raleigh, NC
I hadn't heard of this one before but it's a 5 star center:
Welcome to Safe Haven Learning Center a 5 Star Preschool, Childcare, Daycare located in Raleigh, NC
Got that information off of this page. Entered the 27607 zip code..you can go enter other nearby zip codes as well.
NC Div of Child Development- Searching Resources in Child Care