One area I’d suggest looking at is within materials science; there’s a lot going on in the biomaterials and nanotechnology field. Where biomedical engineering can sometimes be more “devices” oriented, biomaterials innovations are often foundational to progress in multiple spheres. Here’s an NC State example: Materials Science and Engineering (BS): Biomaterials Concentration < North Carolina State University Virginia Tech has a Sustainable Biomaterials major Sustainable Biomaterials | Virginia Tech There are also more bio/ecology oriented bioengineering majors such as Clemson’s Biosystems Engineering Biosystems Engineering | EEES
An engineering-adjacent field that also includes both bio/chem and design is Packaging Science. Students study the design aspects of packaging, the mechanical and biochemical aspects of protecting/preserving the products being packaged/transported, and the business/advertising aspects of packaging. Programs are relatively rare and grads are highly sought-after and well-paid. Clemson has this major: Clemson University | Packaging Science Degree
I also agree with the suggestion to check out agriculture-related majors like Food Science. Some programs are more nutrition/dietetics-adjacent, whereas others are more engineering-ish, focusing on developing new food products and food safety/preservation systems. I know a lot of interesting R&D goes on at VT Undergraduate | Food Science & Technology | Virginia Tech and Purdue Food Science Major There’s also agricultural engineering; at Purdue, for example this major Program: Agricultural Engineering, BSAGE - Purdue University - Modern Campus Catalog™ shares a department with biological engineering Program: Biological Engineering, BSBE - Purdue University - Modern Campus Catalog™. Programs under an ag umbrella will be somewhat less dominated by premed culture than other bio/biomed type majors.
Then there are the more computational options - bioinformatics and other CS/data science-adjacent programs; would your kid like the more computer-oriented fields?
Lots of good options. As others have said, it can be important to get an early start on engineering if keeping that option open is desired.