Some schools, like a Pitt or Alabama, will have merit for strong minority candidates. Other publics won’t.
I suggest having your parents run the net price calculator at some meets needs schools - Northwestern,Boston U, Chicago - a mix of meets needs schools - etc to see what they say they will cost. You can see if they agree you can only pay $5k. If they don’t, then you know these type schools cannot work unless they have a program to support URMs and or first gens.
So Purdue and Illinois are reaches. But again run the NPC and see if they have special merit for URMs. Otherwise you won’t get close to budget.
Questbridge, as mentioned earlier, could be an option depending on your family income.
Best of luck.