Have you check border crossing and timing?
As far as I know, tours to Base Camp are usually 15 days long. Leaving you two weeks for the rest of the trip (if you are not tired enough).
Then, check the situation of the border with Myanmar as is very difficult to get a bike inside that country. China is even harder to get in with a bike as they required you to be acompanied by an inspector all the time and it is very expensive.
We travelled from New Delhi to Kathmandu two years ago and we had to fly the bikes to Thailand. Our initial plan was to do the same trip you are planning (without base camp) but we found impossible to do it.
Ride safely!
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