Housing Needed from 13th September for female researcher

Hello folks!
I am a 32 year old female, working as a Visiting Student Researcher at School of Medicine. My current on campus sublease ends on 12th September. So, I am looking for something from 13th September to 31st December, with a likely option of extending my stay beyond 31st December. If you have any option for housing matching my dates, please let me know.
I would prefer a private studio apartment. However, private bedroom and private bathroom in a shared place will also work. My budget is maximum $2000. I would prefer females as housemate with no smoking and drinking. It would be really great if the house is within walking distance from school of medicine.