I don't recall Lin Beifong ever doing any earthbending Ty Lee couldn't easily avoid. Even Azula was jealous of her acrobatic skills and she could dodge some of Toph's earthbending during the Day of the Black Sun. I guess Lin could make a tall rock pillar for herself and take potshots at her from up there but that isn't really her style.
I don't think Ty Lee would have a problem dodging her cables either, especially if she knows how they work. Lin would obviously defeat Ty Lee if she had her armour though.