As far as I am aware the BBVA bank loan agreement with CTC requires a guarantee from a UK property. Your best bet is to contact the schools directly though and they will be able to provide you with the answer or put you in touch with the bank representative for the loan.
Remember, there is always the modular route you could follow too. It is much cheaper (~£50,000) and it allows you to work at the same time to help cover the costs. The government also offers a professional development loan up to the value of £10,000 to help cover course costs.