Looking at a school’s Common Data Set, section H, is your best bet to see what kind of financial aid they’re giving out (amounts and to number of students…though you’ll have to do the math to find the percentage). If you do an internet search for “College Name” and “Common Data Set” it should pull up.
For a faster bet, this aggregator has a number the merit aid info for a number of popular colleges. It was last updated in November of 2022, so after the most recent set of Common Data sets came out.
Need-based grants from the colleges was last updated in fall of 2021, so not as recent: