Hello there. Hope you are doing good. I would like to tell you that all the top colleges requires you have to have a good entrance score to get admission in their colleges. There are many colleges providing MBA without entrance exam but quite a few of them are worth considering. I am sharing a link with you which consist of details of all the colleges which you can look for if you don't want to appear in any of the entrance exam.

https://bschool.careers360.com/articles/mba-admission-without-entrance-exam

I hope you found this answer helpful. Good luck for your future.