The Grosmont Estate overlooking the Esk Valley, seven miles from Whitby, is being sold by Boulton & Cooper Stephensons for £3.5m.
Agent James Stephenson said the 2769-acre North Yorkshire property, which has been owned by the Rastall family since the 19th century, was attracting people interested in field sports, but could also appeal to those looking for some long-term investment potential.
Grosmont includes a five-bedroom stone house, a pheasant shoot, a 1940-acre, 12-brace grouse moor and 8800 yards of salmon fishing on the River Esk.
The sporting rights come back in hand in 2007 and 2008 and Mr Stephenson said the shooting had the potential to be developed further.
There are five other attractive dwellings.
Three of these are let with about 600 acres of farmland under long and medium-term tenancies, while two are rented with assured shorthold tenancies.
In total, these generate about £40,000 a year.