Hii!
Not specifically B. A Honours, but there are a few colleges in Anantnag offering B. A course.  Some of them are -
* Government degree college for women, Anantnag
* Government degree college for boys, Anantnag
Rest are outside Anantnag, like -
* Islamia University of science and technology, Pulwama
* Government degree college, Pulwama
* Government degree college, Srinagar
* Jamia Tul Banat Saifni, Srinagar
Etc.,
Hope this helps.
Good luck!