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 Fairhaven, is close to Beeston Railway Station and the Victoria Hotel (which only offers food and drink, not accommodation). A little further away is the Village Hotel which is close to Attenborough Nature Reserve.
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).