Good Morning.
I did some digging and found a few bits of info.
London Eye and London Dungeons are both operated/owned by Merlin Entertainments, and both operate from the same venue. I did a Google search for London Dungeon and the postcode for both venues, that gave me this page:
http://www.tripadvisor.co.uk/Attraction_Review-g186338-d189027-Reviews-The_Londo... which has an 020 number listed against it. It would be a start to try this number or ones close to it as alternatives for the London Eye. The Dungeon was previously operated from Tooley Street near London Bridge Station.
The number given is: 020 7403 7221
It's worth a try at least.