Don't want to scare you but we have been there in the summer when they have run out of strollers. You would have to keep checking back and hope someone left. But while I do not remember what time we actually got there I do remember it was after 10am. May have been as late as 1pm. In the busy months we now have learned to take our own. My DD is 5 and long legged so our own does not really fit and it is the only place she does ride but one day at MK without taught us a lesson.