Your itnanrary will be like this.
Lahore---Rawalpindi-----Abbotabaad---Besham----Chillas-----Astore
Local transport-NATCO will charge aroung 2,000 per person to Astore.From Astore you have to book a Jeep for Rama idea is 2000---2500 one sided. PTDC Rama (Only hotel) will charge approx 3,000 per rooom, rest please calculate your self but timing does matter current timing is not suitable as there will be huge Glaciers over there