By "Reverse Mathematics", I assume you mean the field of Mathematical Logic.
It is no surprise to me that essentially no undergraduate programs would have a course in Reverse Mathematics, or even if most undergraduate programs had a requirement in Mathematical Logic that Reverse Mathematics would not even be touched upon in such a course. As is with other sub-fields of Mathematics, there is simply not even room in an undergraduate program to discuss other "non-standard" approaches to mathematics which may not be of interest to the majority of the students in the program.
As far as I know, even taking a full-fledged course in Set Theory is not even a requirement for most undergraduate programs and is even merely relegated to an option. With this in mind, I believe there are more important topics to be discussed in an undergraduate program than Reverse Mathematics; namely, Set Theory.