MN to San Fran, I need advice for UT badly, love the outdoors

[TreyJ45]

Hello everyone,
I am planning a road trip starting in Minneapolis , Mn and ending in San Fran. There is so much of the country I want to see, and Im going to be accomponied by my british girlfriend who knows nothing of the US. Im 22, I love to see the outdoors and experience new things, I also love cities. I am especially interested in any help on going from salt lake to bryce canyon to grand canyon, there are many routes, time is not important, i want the most spectacular. Here is my current travel plan if you want to check it out, any advice would be appreciated

Anyways, my basic plan is-
Leave minneapolis and head to mount rushmore
proceed to yellowstone via montana, anything worth seeing in mt off the interstate?
after yellowstone head to jackson hole
i either want to white water raft here or in UT, prices are cheaper in jackson hole, does anyone have advice on an affordable place to white water raft?
go to pocotella Idaho to visit friends
head to bryce canyon
go to grand canyon
does anyone know the best scenic routew between bryce canyon and grand? what else is there to see in southern utah, detours are not out of the question by any means
next, head to vegas
then to LA
follow US highway 1 to San fran

This is my plan, what do you guys think? I am willing to make more detours, however 2 weeks is a maximum i can do. Any advice would be greatly appreciated. Thank you so much,
Trey