What's the chance to leverage my M7 Deferred MBA to move into management consulting?

Any advice would be greatly appreciated!

Background:
My undergraduate degree is from an average state school, an 80+ ranking non-target school. Not a single one of us got into MBB directly after undergrad. Previously, I applied for MBB before, but I never got an invitation for an interview because of my undergraduate college. 

Currently working as a data scientist at a technology firm (one year, not a top tier technology firm) stayed because of the manager and the people. My current salary is over 100k, and I have received multiple FAANG data analyst offers before, so anything lower than MBB is not considered while transitioning into management consulting. 

I have just received an M7 deferred MBA offer today, and I wonder how if deferred MBA offer would help me to move into management consulting or even venture capital? I also have a few master's offers from schools like Duke, Brown, and Upenn. I can only take one, either the master offer or this M7 deferred offer. I know the master's program at Brown will guarantee me to have an internship at venture capital, and I have friends who graduated from duke master's degrees and have gotten into MBB before. Still, I don't know if it's wise to turn down an M7 deferred MBA for a master's degree?