Based on the listings at the linked site https://www.gradreports.com/best-colleges , it looks like engineering majors tend to be relatively flat across the top 25 colleges listed for each major. An apparent anomaly is electrical engineering with the top 3 having much higher new graduate pay levels, but #1 and #2 there have EE as part of an EECS major (where most students emphasize CS), and #3 has an ECE major with an option to include a significant amount of CS.
Also, be wary of assuming that STEM majors mean high pay. Biology is one of the largest STEM majors, but the pay levels shown are not that high.