Forget Norwich unless you are happy to spend a lot of money to taxi the aircraft. Norwich are not keen on GA or commercial passengers and I suspect Omniport see the future in developing the airfield for housing.
Seething is not a place where you can turn up with money and learn to fly. They are renowned for being a clique that will take a long time to penetrate.
Old Buck or Shipdam are the best options. OB is quicker to reach from Norwich.