Seeking October Sublet in London UK

My name is Andrea and I am a 37 year old therapist and DJ from Victoria BC Canada. I am currently visiting London to experience the music scene and to get a feel for the city (and whether it is a place I would like to move in the future). I came in December/January to do a cat sit in Peckham Rye and it was an amazing but very cold so I knew I needed to come back in the summer (I arrived August 2nd and I am now seeking a one month sublet for October (7 days/week). A little about me: I am trained as a therapist (MSW) and just applied for my license. In the meantime I work as a coach. I also run a UK music themed monthly at a nightclub in Canada. I am social and looking to meet new people here, but also enjoy my quiet time. I only came with a backpack so I don't have many things :) Looking forward to hearing from you. Please note: Due to the Canadian dollar being worth half of the Great British Pound my budget is limited. My absolute maximum is 700 with bills but I am trying to find a room between 500-700 if possible. Thank you for your understanding. Feel free to reach out if you think we can make it work!