Chance of cloud cover along the path of totality.
It shows that Junction and Brady have the lowest
cloud fraction of the entire United States.
From
here.

These two cities are North of the centerline.
The distance from center to edge is about
70 miles or 1.5 hour drive. Link to Google map is below.

Average Lows will be 57F and High of 81F, and rainfall is fairly low.