Hi,
Sorry, I'm not able to throw any light on where such equipment might be available. However, if the consultant ordered a certain procedure, is it not the responsibility of the team treating you to find somewhere that can deliver this for you and refer you on? I don't know where you live but, if the facilities are availlable in London, can your team refer you there and you travel to have it done? I am a bit of a stroppy madam when it comes to insisting that the NHS delivers on its commitments and I don't see why you should consider going private if this is something that has been deemed appropriate by your surgeon.
Apologies if I've got the wrong end of the stick.
Wishing you all the best.