Hello and welcome,
It was some years ago that I made that journey which was by the east route so my information is out of date but will say a BMW 750 is perfectly capable, I did it on an R80G/S and have the opinion it would have been easier on something smaller, the Honda CB500X is a popular choice and to my mind a CRF300 would be even better unless you are taking a passenger.
Hopefully someone with more up to date information about route will be along to advise.
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