Hey as per my idea doing MBA is good option but as you want to do distance education so it will give benefit only when you will do from good college

Distance Education
MBA programme is pursued via correspondence, i.e., remote communication between two parties. Education in this format focuses on imparting lessons to students, who are not physically present in a classroom.

Eligibility
Candidate should be graduate from recognised university
Final year candidate can also apply

Here I am giving you list of Top MBA distance education universities in India
Indira Gandhi National Open University New Delhi
Yashwantrao C Maharashtra Open University Nasik
Sikkim Manipal University Gangtok
IMT Distance and Open Learning Institute Ghaziabad
University of Mumbai Mumbai
Maulana Azad National Hyderabad
Urdu University
Dr B R Ambedkar Open University Hyderabad
Symbiosis Centre for Distance Learning Pune
Dr BabasahebAmbedkar Open University Ahmedabad
Annamalai University Annamalainagar
Netaji Subhas Open University Kolkata
Osmania University Hyderabad
Shivaji University Kolhapur
M P Bhoj (Open) University Bhopal
University of Delhi New Delhi
Maharishi Dayanand University Rohtak
AcharyaNagarjuna University Guntur
SNDT - Women's University Mumbai
Alagappa University Karaikudi
Andhra University Vishakhapatnam
University of Madras Chennai
Himachal Pradesh University Shimla
U P RajarshiTandon Allahabad
Open University
Tamil Nadu Open University Chennai
Karnataka State Open University Mysore
Madurai Kamaraj University Madurai
VardhmanMahaveer Kota
Open University
Kurukshetra University Kurukshetra
University of Calicut Kozhikode
Kakatiya University Warangal