Welcome, Noxx, I hope you have a great trip coming to the US. Doing Grand Canyon along with some winter ascents would make a really memorable trip. Just be sure you take all the safety precautions.
I usually bring this topic to the top each winter, and I may still. Be sure to read it. It was written by a formerly active Whitney expert mountaineer, Bob R, who also was part of the CLMRG (China Lake Mountain Rescue Group) that has made many searches and rescues (and recoveries) on Mt Whitney.
So, you want to climb the Mountaineer's Route in winter?