Arundel Castle -
http://www.arundelcastle.org/ Warning its fantastically expensive.
Not like anything I have ever seen before, more opulence then Buc House and Sandringham. and the chapel is as breath taking as the Sistine. The cricket history might be a good tie in for you as well.
Holkham Hall -
https://www.holkham.co.uk/The best bit of Palladian architecture in the world, it is quite breath taking.
Houghton Hall -
https://www.houghtonhall.com/The building and decoration is well worth a visit, and the political history of the place fascinating, however the gardens and buildings within are again unlike anything I ever seen before. Well worth taking the tour guide as so much of Britain's political history is based there in some way.
Felbrigg Hall -
https://en.wikipedia.org/wiki/Felbrigg_HallWell if you are in Norfolk anyway . . . its just a standard Country house but the gardens especially the Victorian ground with the orangery is the most peaceful place for me in the world.
Oxburgh Hall -
https://www.nationaltrust.org.uk/oxburgh-hallOld, very old 15th century(?), great moat just a nice place to be.