You have some very good experience that im sorry to say some of here that have replied to your thread believe is not useful to a consulting company: clearly they are new grads, still in that phase where they can be arrogant to industry-people, but believe they are still valued by their firm. Its kinda cute :)
To answer your question:
1.)You have plenty of great experience. After ten years degress really dont count that much anymore, really, its all about experience. Translate that experience into a very good CV, put some statistics in there (by how much did you improve processing times for product x, etc...). Get up a blank word document and write a few paragraphs about why you want to move into consulting - read it, redo it, and make sure you cane make it sound saleable.
2.) Contact the HR reps at the companies. I may be wrong but i dont know of too many recruitment consultancies that can help you out in this area.
3.) If there are any projects in the bank that are run by consultants, see if you can somehow align yourself to that project so that consultants have to report in to you, or you have some input into their work. This will allow you to network
4.) Working away from home: in fact, the majority of banking centres are located out of London. London is full of front/middle/back office operations, but processing and other cost centres are located all over the country. Its odd that so many consultancies want you to base yourself in London when, most likely, youll be up in Halifax, or Glasgow (e.g.)
Sum Up: You have plenty of experience, you need to realise that consulting firms want this. you can probably get in at manager level in a consulting company, prove yourself, and work your way up. They may want you for your contacts within the organisation as well as your in-depth knowledge of banking operations. G