We do not have any accommodation at the pub but there are lovely B&B's and Air BNB in the village.
Please try:-
Deep Thatch Cottage - www.airbnb.co.uk/rooms/19307822
Sunnyside B&B - http://www.rodmell.net/index.php?page=56
Garden Studio, Mill Lane - http://www.rodmell.net/index.php?page=546
No 1 Rodmell House - http://www.rodmell.net/index.php?page=1228
Or try Ouse Cottage - a self catering cottage