I would suggest contacting Cox at firstname.lastname@example.org with your account info and your request and see what they can do. I know a outlet relocation used to cost money(~60$) but not sure about a outside underground drop relocation.
Unless your proposed construction is going to disturb the cable I'd suggest leaving it be. Otherwise, it'll continue to work perfectly for the rest of it's life. After which, if a new one needs to be run the pathing will be figured out then.