Could it be Bodrhyddan Hall by any chance?
Spot on ME. it is in Bodrhyddan Hall. The photo was supplied to me by my walking friend Rhuddlan but I couldn't say that before as it would have been one clue too many.

BODRHYDDAN HALL. The home of Lord Langford and his family, Bodrhyddan is basically a 17th century house with 19th century additions by the famous architect, William Eden Nesfield, although traces of an earlier building exist. The house has been in the hands of the same family since it was built over 500 years ago. There are notable pieces of armour, pictures, period furniture, a 3,000 year old mummy, a formal parterre, a woodland garden and attractive picnic areas. Bodrhyddan is a Grade I listing, making it one of few in Wales to remain in private hands and is available for weddings and corporate hospitality
There are two Norman Castles at Rhuddlan, the obvious one and the earlier one on Twthill and Dyserth Castle. Bodrhyddan is an estate between the 3 castles. I must admit that I've driven past daily and never been inside but it does look good from what I've been reading about the place