Try global village dubai ,Indian pavilion ,shop no 240 .Ask there about Two gentleman ,Javaid and Zahoor. They have nice collection of pashmina shawls on reasonable price ....
try Persepolis in Karama. They have lots of different quality pashminas from 20AED to 400AED+
it's quite central to the main shopping area and is on the front part - between the small car parks - hope that make sense, i can never quite explain shop locations in that area!