My university suggested I switch from a “Business Administration” degree with a focus on Human Resources to a “Technical Management” degree with a focus on Human Resources because the Tech Management degree track makes better use of my transfer credits from another college (enough so that I will graduate 2 semesters sooner). However, the woman I spoke to could not explain to me what the difference was between the two degrees, and the university website is somewhat vague. Perhaps there is a Technical Management major out there who could explain it to me?

Perhaps you mean “Technology Management” (BSTM). These are degrees accredited by ATMAE than combine Business courses with some form of Technology. They are alternatively called “Industrial Technology” (BSIT) degrees.
These are actually very good degrees, leading to real jobs, that don’t get the attention from students they deserve.