I agree with Michael that this looks rushed. At the very least I would consider dropping Hot Springs and head from Shoshone Falls to Teton and then through Yellowstone and on to Rushmore. If you want to see Mt St Helens and perhaps drive along the Historic Columbia river Gorge then the Dalles is as far as you should aim for but don't plan on spending the morning in Seattle. In all honesty if you and your dad want some quality time together it would be well worth considering just spending 2 to 3 days in Yellowstone and the Tetons and similar in the Black hills and Badlands.