I am planning on hiking Mount Washburn (start at 8am) on my last morning in Yellowstone. After lunch at Tower Fall General Store, I want to drive to Cody via the Beartooth Highway out of the NE entrance. How long will it take me to do this drive with a few stops for the views. If I start the drive no later than 1pm at Tower, will I be able to get to Cody before the rodeo starts at 7pm? Thank you.