Are you referring to the mailing address section of the Personal Info tab? I will provide you a screen image that shows how to enter the Virgin Islands address.
I can't address any issue, however, about whether a VI resident can use TurboTax or not. But when I made the screen images, the warning just says that a Virgin Island resident may not be able to efile if they have W-2 income from an employer there in one of the listed US Possessions.
