I am considering moving back to New England after a long (20 yr) absence - I am 57, female, single, no pets, responsible and a little ocd with cleaning

I'd like to rent a small ( studio/eff) with heat in the Portsmouth area - or Hampton Beach etc as close to the water as possible since I've been land-locked for all this time !!!! I 'd like to rent Nov-May or thereabouts...I can afford 400-500 mo - am I being reasonable??? I just need a place to write/study and read - I would be a good caretaker and I'm a really great person - have ref.....dmc