Materials Science and Engineering / Chemical Engineering, Physics Degree

I am currently enrolled in a chemical engineering program at a university. However, I would really love to work in materials science, whether that be in industry or in more research centered settings. My university does not offer a materials science/engineering program. My current plan is to graduate with a bachelor’s in Chemical Engineering with a minor in physics while also taking a variety of materials science relevant chemistry and engineering classes. I have also considered attempting a full double major in Physics. Of course internships and lab work are essential to kick start a career in most STEM fields, but as far as coursework is concerned, how might I best gain relevant knowledge to the field of Materials Science and increase my prospects for graduate school? I definitely want to go to graduate school, whether that’s immediately or after working a few years. Will upper-level Physics courses (i.e. Electromagnetism, Classical Mechanics, Quantum Physics) be more or less applicable than a variety of extra Chemistry and Engineering courses? (like Physical Chemistry for example). What classes specifically are useful to Materials Science? What would look better on graduate school applications? Is it better to tailor my classes to my own interests? Any input, answers, or opinions are welcome!