Most of us are engineers, and hence have a bias…so let me give a contrary opinion.
Your school may have an excellent College of Construction Management, if so, look into the average starting salary and employment rates for graduates. For example, at UF, graduates from the School of Construction Management average starting salaries are about $5K+ more a year than CE graduates, and they have 90%+ employment rates (graduates with job offers BEFORE graduation).
If your schools Construction management program is “lacking”, then Civil Engineering is an easy choice. However, if it has a strong program, and it’s a field you’re much more interested in than Civil, then switch. But first make sure you understand what’s involved in a career in Civil engineering, versus Construction Management.
Good Luck!!