There is a list of local B&Bs and small hotels on the Beeston.Biz site.
You can search for accommodation in the wider area on the Visit Nottingham site. (If you choose Beeston as a starting point in the City/Town/Village box, you will need to select Beeston (XNMNT) from the drop down list: the other one is probably in Leeds!).
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.
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, and is much 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).