There is a camp site in Burnham Deepdale near Brancaster Staithe. You should Google it and give them a ring, they also have a hostel and giant teepees that you can stay in.
Never stayed there but know its near a good shop and 'famous for its breakfasts'cafe. The beach at Brancaster is fab, Blakeney for crabbing and Morston quay for catching the boat to see the seals off Balkeney Point. I would happily live in North Norfolk. We try to go as often as we can. Plenty of walking, relaxing and just enjoying.
Further inland are plenty of attractions if the weather is bad. The steam train from Sherringham to Holt is good fun and I think Sherringham also has a huge swimming pool , again, for the bad weather.
Wells next the sea is nice place to walk along the front with a bag of chips or you can gat a little train down to the beach in the high season.

Have a fab time. I want to go again now.