I had a great stay at Vanessa's place (stayed for a full month in total).
The area is quiet and residential with very nice parks around. Super close to Peckham/Nunhead to go for a cafe/restaurant/drink with lots of options.
Travel wise, walking distance (~15mins) to the train station (Nunhead) / Overground (New Cross) and many buses to take you around.
The studio is just like the pictures and it has everything you might need.
The host (Vanessa) is also super responsive and friendly.
Recommended no matter if you are staying in London for a couple of days or longer.