If budget allows take flights to Chitral.
We recently went to kalash for the chillum joshi festival. Couple of us went by air from Peshawar n the rest of team by road from Psh.
Psh to Chitral by road is around 10-11hrs. Dir is right in the middle so around 5-6hrs from psh. The road team had hired a gli car till Dir which cost 6k with fuel. After Dir they had to hire a jeep to bamburet kalash which was around 8k with fuel. Kalash turn comes before chitral main city which is at Ayun. Ayun to bambueret is around 1 hour n the road is really bad.
You don't need any permissions to enter kalash valley. Hope that helped in some capacity.
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