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Nothing in Thetford but there's a nice place on the o/skirts of Hethersett on the B1172 - can't remeber name but its a "Country Lodge" 3/4* type place. Will ask some friends & come back to you. Only 10/15 miles away up A11 towards Norwich...
Me and a friend stayed at the hotel near Norwich airport (Stakis, i think but dont quote me) so we could have an (easy) night in norwich, before doing the 'Supercar experience'