Stay with the math/science path.Your best bet may be a strong math major from Babson.
But will it be affordable - what’s in-state for you and what’s your budget? Have you run the NPC on these colleges?
None of them are targets, so your goal should be to leverage an exceptional college resume for an MBB position leading to a top MBA and then IB.
I know this can be done from UT and UWisconsin, not sure about UIUC (emphaisizng “not sure” in that I don’t know but it doesn’t mean it can’t be done.)
Another issue with UIUC is the current state of Illinois’ finances. But UWIsc is suffering from major budget cuts too.