You should choose a BS in Agribusiness Management at TNAU. It offers great career prospects in the field of Agriculture. TNAU placements of recent years have witnessed an average CTC of INR 4.5 LPA. ITC, HDFC, Paper Boat, etc. are among the major recruiters that take part in the placement drive. Return on investment is decent.
ABM, unlike any other B.Tech courses offered by TNAU, is one of the great self-financing courses. It is especially good for people who want to work after graduation because the banks stopped their direct recruitment from the schools a long time ago (see 'Agri-marketing job'). And this four-year course needs a fee of approximately 3 L to 3.5 L excluding food and shelter. Therefore, investment return(ROI) is warranted.
Apart from that, campus life at TNAU is just great. You will definitely have fun. You can develop at a faster pace both personally and professionally. You'll love the brand picture - TNAU.
A friend of mine pursued a BS in Agribusiness Management from Bannari Amman Institute of Technology, so I can vouch for the course.
If you want to know about BIT, reach out to the students of the institute. BIT is, after all, one of the region's best engineering schools. So, compare and choose which institute is better.