Motorists are advised to avoid the area.
"Underutilised space" at the school could be repurposed as SEND demand increases, a council says.
The Staffordshire-based manufacturer wants to beat the record it set with a diesel car 20 years ago.
The site will operate on a booking system and allow a maximum of 10 dogs per session, plans say.
The home was recently used for scenes in a Netflix film, and camera crews will be there once more.
Peterborough City Council has launched a consultation on plans for a 3,000-home development.
Wing Cdr Joan Ochuodho is the fourth woman to take charge of RAF Wittering, near Peterborough.
City councillors will discuss plans to turn an 1885 stable block into three homes.
Anglian Water says engineers were looking into it.