You could try calling to book and see if they can let you send a cheque. I have heard it done but not recently. Fee has always been charged - well for the years I know of anyway. Used to be £10 when we first started going, it's gone up each year to the now £16!

Only good thing is it's per booking, not per room, so we are going in Nov/Dec and have 2 rooms at the DLH booked, but because we did a combined booking, only 1 charge.
Are you wanting to get Quidco cashback and that is why booking online? Don't forget, if you book by phone you can pay a 15% (think) deposit and balance 60 days before. Might be easier on your pocket? We have always paid in one but this trip we didn't as we had two trips to fund (June & Nov) so decided to pay deposit on Nov. Glad we did as we were allowed to change our offer just before the balance was due to a cheaper offer - saved almost £300! If we had paid in full, online, the CM indicated it might not have been so straightforward amending it for that kind of money/refund..... Just a thought.