Day 4 Why not go up to Montana?

So I'll start the day in Bozeman MT due to the seasonal restrictions causing me not to hit Yellowstone on Day 3.

I'm going to give myself an hour to enjoy around this area I most likely will use less but I'd like to plan the time. I feel like this is another day to push myself driving (most of these numbers mileages are guesstimates so it's possible I'll be doing better than this)  

I'll drive from Yellowstone to Panguitch, UT about 700 miles apart and 12 hours.

I expect this leg to be $110 in gas.

Estimated Gas Cost $420

Estimated Food Cost $60- $95

Estimated Hotel Cost $200

Estimated Total Cost $680 - $715  

Miles to go 820 approx 1-2 days