The best way is to hire a cross-country vehicle. The cost is 400RMB. This is usually the price of hiring for one day. It takes 5-6 hours from Shangri-la to Meili. In fact, there are many vehivles back to Deqin (Meilin) from Shangri-la. If you stay one night in Shangri-la, the hostel owner can help you to find a van with good price. If you travel alone, better to find other tourist to share a van. That will be cheaper. There are public bus from Shangri-La (Zhongdian) to Deqin. From DEqin, there are mini-bus or hire a van to Meili then. It takes longer time to take bus, 6-7 hours perhaps.

The road from Shangri La to Deqin is under major construction and is in poor condition, The ride will take at least 10 on a good day. having said that, the Mountain is the hi-light of the area.