Let me suggest you with experience not to cover every place in a single trip. Make a trip to KKH itself via Kaghan Valley and return via Besham or maybe add a detour like Deosai only. Trek and explore the area adjacent to the KKH like a trek aroung Bathura and Passu glaciers, or maybe walk in the Rupal valley or maybe a lil visit to Minapin from Hunza. This way you might enjoy and explore more.
I am saying this because after one trip you will be hooked and would like to go next year too; and then another one 
Regards