There are numerous accommodation options nearby, most of which can be compared via www.booking.com. When searching, ensure that you are filtering on single rooms and with own bathroom in order to eliminate noise.
EasyHotel offers excellent value in Victoria and South Kensington both easily reached by Tube.
As a cheaper option, several London universities offer student rooms for rent out of term-time and these can be found at University Rooms London
Imperial College London has rooms in Beit Hall, next to Royal Albert Hall, which can be good value for money and can be booked via Imperial Summer Accommodation.
For even cheaper accommodation across Central London, it is worth checking out TravelStay