Most parents are not full pay at Ivy+ type colleges, but among the minority who are full pay, many are especially enthusiastic about attending. Children of full pay parents are tremendously more likely to apply to and attend the colleges that are most expensive for them than the general not full-pay population, even when limiting to just high achieving students who are well academically qualified.
IPEDS can be used to create a spreadsheet with this type of tier list for thousands of colleges, in a few clicks. Unfortunately info is out of date, as they have been slow to update this year. As an example stats are below for 2023-24 year. When ranked according to prices most students pay (I realize this list is not representative of average cost), the tier list often looks quite different.
<= $10k Average Cost for $75k to $110k Income (in state)
Texas A&M - $5k
Berea – $8k
Stanford – $8k
Williams – $9k
Washington and Lee – $9k
CSUs – ~$10k
CUNYS – ~$10k
Gallaudet – $10k
Ozarks – $10k
$10-$15k Average Cost for $75k to $110k Income (in state)
Wesleyan – $11k
Cooper Union – $12k
Johns Hopkins – $12k
Soka – $13k
Clarkson – $13k
Chicago – $13k
Dartmouth – $13k
U Florida – $13k
MIT – $14k
Princeton – $14k
Harvard – $14k
Northwestern – $14k
Kettering – $14k
Vanderbilt – $15k
Columbia – $15k
Pomona – $15k
…
>$40k Average Cost for $75k to $110k Income (in state)
New School – $57k
Howard – $51k
Landmark – $51k
Union – $45k
Emerson – $44k
Pepperdine – $42k
Chapman – $42k
Fordham – $42k