Are there any bus from Chengdu Xinnanmen to Hongyun, Shuangliu District?

Do you refer to Hongyun Apartment?
If yes, you are advised to take metro line 3 from Xinnanmen Bus Station to Hongpailou Station. Then take public bus no.306 to 3rd Section of Jinhua Road. After arriving, walk northwest around 400 yards to find the destination.

Thanks Tracy for your prompt reply. We worked out that the easiest is to catch the airport bus to the airport and they would come and pick us up at the airport.
Unfortunately, we have had to change our travel plan and won't be able to go there. However, the manager of this inn was extremely helpful and we thoroughly recommend Huanglongxi Hongyun Inn.