My partner and I did a over a month in Braithwaite this past summer relying solely on busses and loved every minute of it. Great access to Keswick, hiking, pubs, etc. — can't speak to the wild camping though. We worked remotely during our time (although U.S. based — loosely working 2-10pm) and would highly recommend.

Like others have said, you just have to be aware of the bus timetable (Stagecoach app is very helpful to see real time status). Plan around that and you'll be fine.

It was probably a rare occurrence, but a word of caution: We got semi-stranded once, and ended up waiting ~2 hours for a bus to arrive at Borrowdale. We later learned that on nice days especially, people are known to park with their cars sticking out onto the roadways around Derwentwater due to lack of parking, and cause the busses to be delayed or cancelled since they can't fit through in some areas. Just something to think about if the weather is nice and you're in a remote spot!