My group usually goes through the Castle and to Fantasyland first to ride Small World. But since Small World was closed this time, we still went through the castle and walked through Fantasyland, just for tradition. But we then proceeded through Liberty Square, Frontierland, and then hit Adventureland for Pirates as a first ride.
Let me tell you, Frontierland and Adventureland are pretty empty during those first few minutes!! There wasn't even an employee in sight!! Just the four of us!! We felt like we were the only ones in the whole park. It was a pretty weird sensation...but it was kind of cool.