I can't tell the highway from the map you posted but if it's all interstate I surely wouldn't have an issue with it. Going up would be a piece of cake with your DP. Going down get into lower gear before you being a downhill; not in the midst. Curves should be no problem.
There are many roads on YouTube of folks driving fun and/or scenic roads... just plug in the road number/name and the section & it might come up although most are for secondary highways; not interstates. You need to take into account that some of the videos are taken by motorcyclists who love those kinds of roads. They will be going faster than you will & also some of the videos are speeded up. Don't let that deter you. You'll also have to either mute or listen to their sometimes awful music!
However, it's a good source.
Another thing that would really help you is to get the 'Mountain Directory for Truckers & RVers' - Eastern Edition (it comes in Western, also). It will give you a heads up on mountain roads. We used it all the time in the West - even if we drove the same road the next year or so. It was good to refresh our mind. We used the paper version but it now comes in an electronic version, also. Personally, I like paper for planning, including maps.