I don't know if they do that sort of repair, but the official repair facility for Google Pixels is ubreakifix.com. If you go on their website you can find if there's a local store near you and if not they have mail in services. I'd check with their customer service first to see if what you want to do is supported.
Other than that look for cell phone repair shops near you and contact them to ask if they can replace a soldered on USB-C port.