The overdraft seems the best option and if the bank accept the application, be sure to set up an agreement that once you start receiving a monthly salary, that they automatically reduce it on a monthly basis. You mention you need £1500 for bills, but then state a £3000 overdraft? I'm guessing you already have a £1500 overfdraft in place.
The other option would be the credit card. However like you say, this could be very expensive. If you do choose this route you should apply for a 0% balance transfer card once receiving income again and transfer the balance across (you will incur a transfer fee) and ensure the card is repaid in full before the end of the interest free period.
Hope this helps and let us know how you get on.
Gemma