Cox Branson Amenities View All Visitor Parking Parking is conveniently available in the parking garage behind the outpatient center, and in the parking garage off Skaggs Road. Cafeteria The cafeteria is conveniently located between the hospital and the outpatient center. From the outpatient center, this is the first floor; if you’re coming from the hospital this is the second floor. Gift Shop Our gift shop offers a wide variety of magazines, cards and gifts, and some toiletry items. The gift shop is open 8 a.m. – 4 p.m. Monday – Thursday, and 8 a.m. – noon on Friday. You can find the gift shop on the first floor of the Outpatient Center. Nearby Hotels The Branson area offers a wide variety of lodging options that are convenient to Cox Medical Center Branson.