I enquired about exactly the same - alpine white full wrap for mine and the costs came back at about £800-£1000 and more for any other detailing.
However the advice was not to do it, especially if the car is in good condition because it is not a permanent thing, its awful to get off and get the cars paintwork back to how it was before. It can devalue the car.
This is just what i have been told and might be wrong though. Phil will know best.
I just wish MINI would bring out some new and exciting colours - white, white, white

BMW have it so it's there ready and waiting