The plan is to replace it with a 16-home housing estate of two-bedroom to four-bedroom detached houses.
The design and acess statement said: "The site layout incorporates an area of public open space which together with the low density housing will create a green, open space.
"Where possible, the parking spaces will be discretely positioned to reduce the visual impact and retain a more open and rural character."
A public consultation ends on June 13 and the council’s development committee will make a decision by August.
Meanwhile, Land and Buildings Ltd hopes to build on land occupied by Blagdon Water Gardens in Somerset, which sells exotic fish and reptiles. The developer is seeking outline planning permission to demolish buildings on the site, and build up to 30 homes in their place.