One thing to consider is whether the student is more interested in the computing side of the field (HCI, UX, etc.) or the more MechE/Industrial side. And on either side of that fence, also consider whether they want a strong design component.
There are lots of majors that could work, depending on interests and strengths. One way to go is to consider schools with general engineering majors that can be customized to the student’s interests and combined with psychology. Examples would be Smith, Swarthmore, Harvey Mudd, Washington & Lee (not ABET), and Olin. (I’m sure there must be more; that’s just off the top of my head.) There are a few Human-Centered Design type majors, like the HCDE major in the engineering school at UW-Seattle (not ABET but they have a task force exploring the possibility). Some Cognitive Science majors could fit, particularly those at strong STEM schools, like RPI, CMU, or UCSD.
Another often-overlooked but highly-employable adjacent major is Packaging Science, which many assume sounds dull, but it really isn’t - programs cover both an engineering design foundation, and psychology both on the usability side and the advertising side. Here’s RIT’s version, by way of example: https://www.rit.edu/study/packaging-science-bs There are also strong programs at Cal Poly and San Jose State. At Cal Poly, Packaging shares a department with Industrial Design, and that’s a major worth considering also, particularly if there’s an artistic component to the student’s interests. Purdue, Cincinnati, Western Washington, and Georgia Tech are additional examples of strong industrial design programs.
And as others have already said, there are the HCI type majors if one’s interest leans toward computing. For example, Human-Centered Computing at RIT, User Experience Design at DePaul, HCI at CMU, and so on.