Hello, I would like to know the best college in terms of academics for a B.A Psychology in India if there is no financial constraint

If you will check the list of best college of psychology then you will find that Lady shri ram college is rated number 1 for psychology. I'll suggest you to take admission in lady shri ram college of Delhi University.
Good luck

The best colleges are:

The National Institute of Mental Health and Neurosciences

Lok Nayak Jayaprakash Narayan National Institute of Criminology & Forensic Science

Gujarat Forensic Sciences University ,

IFS Mumbai, Aurangabad, Nagpur

Lovely Professional University Jalandhar ,

Dr . Bhim Rao Ambedkar University Agra ,

NIMHANS

Tata Institute of Social Sciences, Mumbai

University of Pune,

JwaharLal Nehru University,

Dr.Bhim Rao Ambedkar University, Agra

Delhi University, Delhi

Jamia Millia Islamia

Banaras Hindu University

Anna University

Here are some of the colleges for the programme BA Psychology you can prefer given below:

Christ College, Bangalore
Lady Shri Ram College for Women, Delhi
Fergusson College, Pune
Jesus and Mary College, Delhi
Jai Hind College, Mumbai
St. Xavier's College, Ahmedabad

If you want to know about any particular state then let me know.

Good Luck!