Female grad student looking for housing middle of Sept. - Dec. 31

I'm looking to sublet or lease a place from approximately Sept. 24 to Dec. 31. I'm flexible on dates - as I have friends I could stay with for a few weeks, or I'm willing to pay for a longer time period if the rent is reasonable enough.

I'm a female law student who is planning to do public defense or civil rights, and I would be happy to live with people of any age/interests/etc.

Best-case scenario: a furnished room, under $1100/month, would allow me to bring my very friendly cat, and has a co-op/family feel (group dinners!). I'm flexible on any of those terms if the place is a good fit, though.