OK, that is very useful for us to know.
Rather than using an AI, you will need to get comfortable using the Net Price Calculators available at various colleges. Like, I agree Fordham sounds like a great potential fit, and here is their NPC:
If the NPC comes back within budget, you are in good shape. If it does not, you are not necessarily done, you can then check about merit. And Fordham does have merit:
https://www.fordham.edu/undergraduate-admission/apply/scholarships-and-grants/
Usually the next question is how likely it is you will get enough merit. Sometimes colleges actually publish a “grid” (or similar) showing you what qualifications will get what merit. Some colleges use their NPC for this purpose. But at others, you don’t know.
In cases like that, you can just apply and hope. However, you can also look up some basic merit information that they publish in their Common Data Set. College Transitions, in fact, has scraped the 2023-24 CDS for relevant information and put it into a convenient chart:
To be frank, Fordham does not have the most generous merit program you can find. But not the least either. And you can take that sort of thing into consideration when finalizing your list.
OK, but this really all starts with learning how to use NPCs.