It's pretty unlikely that you'll actually fly into Asheboro unless your VT name is frankcanfly, but it is possible. The Asheboro airport is a short drive from the city's most notable attraction, the zoo. And the NC Aviation Museum is locate right at the airport and I'm guessing that half of its visitors are pilots!
Like I said earlier, you can enter the park from either the Africa or the North America sections. If you walk all the way from one end of the park to the opposite side, you may not want to walk all the way back. Solution: Just exit the park and take this bus back to the opposite parking lot.