I think OP needs to get past - my state is not competitive. Not sure how you’ll pay high 40s given your family’s expected income but with your stats, you’re on easy street. You can go from U of South Dakota, as an example, work a few years and get a Harvard MBA. Many consultants are short lived in that world anyway.
Alabama - as a large name - Culverhouse. Very solid - and you’d be in with $28K merit - so $22.5K for tuition room and board. Amongst the most NM scholars so tons of smart kids - and mostly OOS including a ton from urban hotbeds like NY, Chicago, Houston and Dallas, etc.
Then you have Ole Miss, Mississippi State, Kansas, K State, New Mexico, WVU and so many more great schools - and with Honors Programs.
You can try schools like UGA Terry, UF, UMN Carlson, Miami of Ohio Farmer, Michigan State Broad, Binghamton, Delaware, Utah and even U of SC Moore - as - hey you never know. These are - you never know - they could hit. Not likely but ok as additions to a Bama/Ms State/Ope Miss type.
How about the Johnson at W&L (worth a try) and @Mwfan1921 noted College of Charleston - unlikely to hit $$ but you could easily get invited to the Charleston Fellows program weekend - and who knows - pick up serious merit. My daughter got 3 endowed scholarships and tuition was free (OOS) and they paid us. You have kids that get into Ivies or top LACs like her - in the program.
How about apply to WashU and Vandy RD - why? They offer significant merit opportunities - free tuition in fact - and who knows. Hard to get - yep. But if your state is that unpopular, well they need someone so they can say - we have kids from all 50 states!!!
If you name your state - no one will know you - but perhaps you’re a part of an exchange program we can look up for you that brings lower tuition. For example, are you a part of the WUE, which has a lot of quality schools.
If you’re going to be a consultant - and there’s zillions that place and from a zillion majors - well I’d want my consultant to be able to afford school. That’s step #1.
And for many of them, you’re going to work first and go back to school anyway - as you’ll see if you look up schools of interest like Alabama and McKinsey or BCG + linkedin - or name your other schools.
So your issue is - you can’t apply (or shouldn’t) to WashU ED - that’s really it. You should apply RD. Then the rest of it is - building a proper list with cost in mind.
Not really a big thing at all.
Good luck.