Late August will be fine, I left in the middle of September which was a little late but ok. Your selling the bike plan could be difficult, others might know a country where you can get rid of it, Nepalese customs can be more flexible than Indian but not straight forward and there might be somewhere in Central Asia.
Don't miss India if that is where you want to go, it is one of my favourite countries and you could fly there and buy a bike, Enfields are popular but small Indian bikes are good quality, cheap and perfect for their road conditions, I have a Hero 150cc which has taken me half the length of the country without a problem.
If flying there November is a good month to arrive just after the monsoon.
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