The good hotels in Naran (Sayyam Heights, Pine Park, Lennox, De Manchi) will all be expensive after Eid, will be 7k+.
If you're not worried about quality or hygiene standards there are literally hundreds of cheap places to stay in the bazaar.
I have a hotel there as well but it's probably out of your budget it will also be 7k+ in those days:
www.facebook.com/greens.hotel.naran