Hey there!

As long as you have appeared for the standardised tests such as the SAT or ACT and TOEFL or IELTS, BBOSE should work. The admissions council knows there are various education boards in India and you will, in no way, be penalized for completing your standard 12 from BBOSE during the admission process. However, it is advised that you should visit the respective college's (in which you are planning to apply to) website to determine your eligibility. If you are still unsure, you can always send an email stating your problem. They usually respond within 1-2 days. 

Hope this helps. All the best!