I am really happy that the thread is of some help 
First of all, the tour operator costs seems quite expensive since you can manage the tour on your own in much lesser cost. Also, you are bound with tour operators for their timing, route, choice of hotels etc. With your own conveyance or hired jeeps you can stop wherever you like for whatever time and you can go to any place you like as per your own schedule.
I think you can plan a 5 or 6 day trip to cover all these places very easily.
Day 1: Reach Shugraan from Islamabad. You can stay at Kiwai on your way. Take a hotel in Shugraan and visit Sri Paye. Night stay at Shugraan. You may opt to visit Sri Paye next day and stay for 2 nights at Shugraan. In that case add another day to the trip.
Day 2/3: Leave Shugraan early morning for Naran. Get a hotel in Naran and visit Lalazaar on same day as it is close and easily manageable in 3-4 hours. night stay at Naran.
Day 3/4: Visit Saif-ul-Muluk. Spend full day at lake or you may spend after noon or evening at riverside in Naran.
Day 4/5: Full day trip to Jalkhad and Lulusar Lake. You may also visit Nuri Top. Night stay at Naran.
Day 5/6: Return journey to Islamabad.
Now the question is how to travel. You have the choice of using your own car from Islamabad till Naran. Cars can go till Shugraan also from Kiwai.
In this case, you will require jeeps for following visits:
1-Sri Paye (from Shugraan)
2-Lalazaar and Saif-ul-Muluk (from Naran)
3- Lulusar and Nuri Top (from Jalkhad as cars can go till Jalkhad)
Second option is to use buses till Mansehra and hire a jeep for 5,6 days for the whole trip. We hired jeep from Mansehra this summer at Rs.1500 per day plus diesel expense was ours. If you are interested you can contact Qari Rashid Obaidi on his cell 0345-9469770. He is very nice person and would suit for your family trip. He can pick you from Mansehra and drop back on return. You may also opt to use Daewoo for Islamabad journeys which runs from Abbottabad but advance booking is a must.
In case you travel through your own car, even then you can go with him on Naran visits on jeep, he will be reasonable in rates also.
Your trip cost should look like:
Jeep: 1500*5=7500
Diesel: 5000
OR you can add up your estimated cost of travel through own car and your jeep expense would be around 6000.
Hotel in Shugraan 1500-2000 per night
Hotel in Naran 1200-2000 per night
Daily meals snacks etc. around 400 per person per day.
Finding hotels in Naran on weekends is a BIG TASK. If possible reach there in weekdays. Jeeps are easily available from all spots. You can always park your car at hotel and travel on jeep if required.