Las Vegas to the Grand Canyon to Page all in the same day? What are you going to do, just drive through the park without stopping? You won't have time to see anything and it will be a waste of your $30.
Same with Page to Bryce Canyon to Salt Lake City same day - you won't have time to even stop the car in Bryce.
1. Inside the park? Very unlikely. You should be able to find a hotel room somewhere in West Yellowstone, but it won't be cheap.
2. US-191 to I-90, this can be done in a day in a half.
I think you need to take some days off some things and add them to the Grand Canyon and Bryce.