why don't you stay at a airport hotel, they provide shuttles to airport for no cost. You can stay a night for 60 bucks.
Next day take a cab or look for bus routes. And why do you want to travel heavy, pack light luggage, it wont be a hassle lugging a couple of bags around.

While my idea does not beat having friends that could drive you around but would be worh NOT hassling strangers and fellow nepalis.