These places have been recommended by students who have stayed there:

Mountjoy Guest House, DA1 3DA     Tel: 01322 553408   Mobile: 0795 7710737 
  Self catering and B & B. Ask for Jacki.

Marriott Hotel, Bexleyheath DA6 7JZ  Tel: 0208 298 1000 (3 miles from Forge on direct bus route)

Holiday Inn, Bexley DA5 1ND Tel: 0871 942 9006 (4 miles from Forge)

1st Bed, Bexleyheath DA6 8NP Tel: 0208 303 6555 (3 miles from Forge)

Greenland Villas,Blackheath SE3 7EU Tel: 0208 858 4175 (5 miles from Forge)

Abbey Wood Campsite SE2 0LS Tel: 0208 311 7708 (1.8 miles from Forge)

Woollett Hall Farm Camping DA14 5ET call Farmer Bill on Mob: 07775684166 

Premier Inn, Bexleyheath

UStay Woolwich Arsenal

Comfort Zone Serviced Apartments

Bexley Place Apartments 

Another  website with various unconfirmed local B & B etc