Welcome to GMAT Club and congrats on your admits!
I don't think you will have much of a difference for MBB recruiting coming from Stern, Ross, or Darden.
I believe Darden has MBB offices on campus (something to confirm with a current Darden student) but unless you have concerns about case method (which will likely be a plus for MBB interviews), I would strongly consider Darden taking into consideration its great scholarship.
P.S. You would have an advantage applying to MBB's vs. other applicants who are shifting industries and trying to pivot from Finance or Engineering.
P.P.S. Thank you very much for properly labeling and tagging your post!