My apologies. If it comes down to the full £60K unsecured, what you say is probably right. I know someone going to FTE and thought he had a similar situation but having checked, it appears he's financing it differently.
In which case, if CTC is your best case scenario, be sure to give it your best shot and be as ready as possible. Best of luck with selection.
PS Enjoy the process. It is actually very good fun.