I have been to Bodiam Castle several times, including a school trip there from my grammar school in Sussex in probably 1972.I also passed it frequently en route to and from Rye, which is about ten miles down the River Rother. It's possible Enid might have been there if she did visit Rye, as it has been a popular excursion destination for holidaymakers for decades. Its four towers, one at each corner of the main courtyard, is a bit reminiscent of Faynights Castle.
It hasn't appeared a lot on film or TV which is surprising as it's so well-preserved, but it did appear in an episode of the BBC comedy series 'The Goodies' in around 1973, as a medieval castle owned by Tim Brooke-Taylor's character's mad uncle. The same series saw the Goodies in Swanage filming adjacent to Enid's 1940s holiday destination of the Grosvenor Hotel, on the lifeboat house slipway.