Ramjas College, University of Delhi

I would say take up Lady Shri Ram. I have a friend who studied humanities in Lady Shri Ram, and frequently interacted with students from Ramjas. And there is a major difference between these two.
Lady Shri Ram has an advantage- it is located in South Campus, far away from the hustle and bustle of North Campus. A lot of people believe it to be a disadvantage, but I believe for studying History it is an advantage. Why? Because Lady Shri Ram is never directly affected by any rapid or random change in Delhi University. It also has a great library, and sometimes Ramjas students need to ask LSR girls for books which they were unable to find in their own library.
LSR has a great faculty, which concentrates on grooming the individual, making them conscious about history and historical writing. It also has a strong Students Union which organizes a great history fest, Antiquity, has a close interaction with Jawaharlal Nehru University (JNU) School of Social Sciences (which is near LSR) and also has tie-ups with INTACH, Dastangoi, etc.
If you want to feel the discipline, learn History without putting a commercial element to it, then go to LSR. As a woman, LSR is a liberating sphere, it gives you much more than just education. It is also the leading college of the country now, for a reason.
The statistics speak, so do the experience of students. I think you should take these into account while deciding where to study humanities.