The Orchard Hotel, which was built for the University of Nottingham's East Midlands Conference Centre, is on its University Park campus, which is just the other side of the lake from the club, within easy walking distance. During vacations, the University of Nottingham offers less luxurious accomodation in one of the halls of residence on the campus. There is also another De Vere conference hotel on the University of Nottingham's Jubilee Park Campus, which is less than 2 miles away.
The Star Inn, which is next to the new bus/tram interchange in Beeston, has recently re-opened after renovation and has started to offer rooms. The Hylands Hotel is on Queens Road, between that and Beeston Railway Station, is longer established. Tournament visitors have also stayed at the Fairhaven, which is even closer to Beeston Railway Station and the Victoria Hotel (which only offers food and drink, not accommodation).
You can search for accommodation in the wider area on the Visit Nottingham site (select the area West Nottingham and the South or City Centre).