College professor here, whose classes include honors students and ROTC cadets/mids. Also the parent of an ROTC cadet on four-year scholarship, taking a challenging STEM major and holding a significant non-ROTC leadership role. My advice: Go for it! You’re gunning to be a military leader — why shrink from the challenge? Why pass up the opportunity for an enriched college experience? Why skip the chance to be a warrior and a scholar? (I believe the good General Mattis has a thing or two to say about that.)
Most colleges don’t hand out Honors invitations like candy. That invitation is earned. It’s given because the college believes the student is worthy of it, and will benefit from it while benefiting others. Worried about the time commitment? It’ll make you a better time manager. Worried about the rigor? It’ll strengthen your ability and resolve. Worried about not devoting enough to ROTC? Your cadre will tell you that academics come first. I don’t see the downside.