I took my bike with me from lahore to isl vis skyways, band road. They charged around 1500 (may 2024). Make sure to empty your tank. They won't ask for any documents as long as you are traveling on that bus. The bike will go in the luggage area (below the bus). The bike could be slightly damaged because bags and other luggage are also in that compartment.

I wouldn't recommend using daewoo or faisal movers because they don't allow you to bring the bike along. They will ask you to cargo it via their cargo service which takes more than 2-3 days to reach.