In the days before everyone and his dog was signed up for ADSL by BT, geeks had the idea of sharing their network connections via meshed wireless.... Whatever happened to them?
In the days when BT was telling us that we would never, ever get ADSL in our village because it was technically impossible, there was a company dedicated to delivering rural broadband via wireless. I signed up and volunteered to have an aerial mast installed on top of my house.
No sooner had the wireless company started installation, than BT suddenly discovered ADSL was possible after all. So the company went bust and I had to pay somebody to remove the aerial.
Interestingly, when BT began to install FTTC around the country, we started to see posters and leaflets from a non-BT company promising super-fast fibre to villages in the area. I registered an interest, but I could never find out any more about the company. Shortly after, BT decided to run fibre to all the villages. I can't help wondering if somebody invented the "fibre company" as a stalking horse to get BT moving.
You might try something of the kind in Docklands/Greenwich.