Maybe you will need more than 60,000 (maybe 80,000 - 90,000)
Day 1 : Stay in Kaghan (economical as well as it will come before Naran & U can visit Shogran & Siri Paye on next day, instead of going to Naran & coming back again to Siri Paye)
Day 2 : Shogran, Siri Paye, stay in Naran (Try to stay in Batkundi as it is cheaper town)
Day 3 : Saif ul mulook
Day 4 : Why waste one whole day for Lalazar? Just have a short stay there and continue your journey towards Hunza
Day 5 : Forts, Eagle Nest etc
Day 6 : Khunjerab
Day 7 : Naltar
Day 8 : Back to Naran
Day 9: Back to Lahore