Indeed. If the Ltd company is valid, which it should be, it will have a Certificate of Incorporation and a UK business address - even if said is only a virtual address. Visit England, pop into your bank and set up a business account. Though the intricacies of this seem a little convoluted so maybe Apple won't pay to that because it's not the account stated when you first signed up?

I definitely think you need to come to England in person and sit down with the bank manager of your personal branch, at least.