From Chengdu you can visit a couple of places who have Tibetian influences. They selling the Yak meat and you will see buildings and flags in Tibetian style. This villages/city’s are nice to visit and will give you an other view on China.
I visited Kangding. It is 9 hours from Chengdu by bus. We saw a lot of roadworkers so maybe you can get there faster if they aren’t there.