Which is better among BIMTECH Noida, XIME Bangalore and IMT Nagpur/Hyderabad in terms of ROI and placements, or should I try again next year?

It is advisable not to wait for another year as you can never be sure of the outcome, no matter how much hard work you put in. Instead, work on selecting the right colleges instead, which can predict 60% of where you end up. If you get into a good college, then rest assured, your career has been made. 

Now, between the colleges you mentioned, I would suggest IMT Hyderabad, as it is better in terms of placements. The ROI is also relatively okay. However, if you compare it with other colleges in Hyderabad, even if IMT is good, there are better options available. 

For example, Ashoka School of Business (ASB Hyderabad), NMIMS or SIBM. ASB is slightly better as they have excellent grooming programs like the 360-degree program and EIR which ensures good training. The college also offers dual specialization and the placements are also great. The overall fee for the college is only around INR 6.9L for two years for the full-time PGDM course.