With Scott being a thru-hiker (technically speaking) and since the Hunt Trail will be open on this gorgeous day, there is nothing to stop HIM from going up the mountain if he gets to the base in the middle of the night, or early morning... He just simply has to keep following the trail. The ranger station at KSC doesn't open until 7am, but he technically doesn't have to stop and check-in - he can sign the clipboard at the base.
He would not need to deal with the park for that. His crew (and anyone going through the gates) would be another story - day use permits are hard to come by this time of year and the lots tend to fill fast.