I’m not sure how experienced you are with Taobao but FYI you can filter on 成都 (Chengdu) specifically in your search. That being said, for me it almost never ends up being (much) faster if I order something from within Chengdu, it usually takes them the same amount of time to pack/ship and for the courier to arrive here somehow. Maybe a day less. But I always have to wait.
Unless you can work out with the vendor in Chinese that you can pick it up or explicitly tell them you want it the same day.