<p>You don’t sound interested in ChemE at all - it seems more like you want a major which covers the premed requirements while offering better job prospects than biology should you fail to get into med school. That’s a reasonable course of action, of course, but as mentioned above, you will be compromising your med school chances for something I suspect you don’t really want.</p>
<p>If you have another topic completely unrelated to medical school that you have interest in, you would probably be better off majoring in that - especially if the job prospects are relatively good. If you want something with more direct application to med school, I recommend biochemistry or chemistry. Biochem is definitely more applicable to med school in particular, but chemistry is more quantitative - more error analysis, a more in-depth coverage of physical chemistry, etc. The skills in chemistry are more universally applicable - for example, you are unlikely to use anything from organic chemistry outside of organic chemistry work, but quantitative analysis in classes such as physical chemistry and higher level chemistry courses will definitely be useful in any quantitative field, not just chemistry. </p>
<p>You also want to consider doing medical work during your undergrad, such as volunteering at a hospital. Engineering wouldn’t give you enough time for that.</p>