No you can't pay for the VS CDC / limo.
On G fare you can elect to spend more miles, but that's often considered a poor use of them.
What you can do is book any taxi or even a private car drop off and organize in advance to use the drive through check in at LHR - call the premier team for information on how to do this.
In terms of TPs Z fares get 5 each way, J and D fares get 6 each way.