I'm guessing we would arrive in JT from AZ around 1:00 PM. From there to Forum Sponsor APE headquarters at Willow Springs is a 3 hour ride, so that would be a very good place to stop for the night.
Besides, Godzilla will have traveled almost 400 miles that day, and he needs his R&R time.
Hopefully, the next morning, he will be able to take a lap around the track and a tour of APE, and then ride to SLO after lunch. Should be a 4 hour ride.