In addition to those high stats colleges, because of your financial need I think it is imperative you also apply to colleges with easier admit rates where your stats+hooks will help generate enough FinAid to make them affordable.
I’ve helped a couple of kids through this process, and it’s not impossible to end up somewhere where after DSL and Pell Grants are deducted from institutional scholarships+grants, the net price ends up around $3K-$7K/yr. You can make up that with summer jobs and work study.
What might hold you back is that at >$100K family income, you won’t likely see any PG money and that will add to your bottom line. Is your family’s income estimate gross or AGI? If the AGI is significantly lower enough to qualify for PG status, you also may want to apply to some schools that do not use the CSS. Also, try some schools with middle50 SAT scores below your estimated score.
Between the reachy full-need schools on your list, and adding some schools where you might score significant scholarship and grant aid, I think you can find a place that will fit your budget. No guarantee, but if you do enough research+work, you improve your odds.