What can a student do regarding conflicting meeting times for desired courses?
This is an issue that can also impact graduate students, so I do think it's appropriate for this group.  

Unfortunately, once a class hour schedule has been published for the next semester, and particularly after students have started to register for classes, it is usually not easy for a department to change class times.  Thus it's important to deal with such a scheduling conflict as soon as possible and preferably before students start registering for the semester in question.  

I would suggest that you send a polite email to the person in the department responsible for course scheduling (perhaps there is an undergraduate coordinator who does this, or perhaps the department chair supervises the scheduling) and explain your situation and desire to not have these two courses scheduled at conflicting times.  This is a reasonable request to make, but don't be surprised if your request doesn't result in a schedule change- in many departments courses are scheduled to satisfy the desires of the faculty rather than the needs of students.