Where I went to college, UMBC, Computer Engineering covered enough of Electric Engineering and Computer Science that it set you up for either a career or further education in either. In my opinion, it was the best value.

I did in fact have considerable pressure from family to change my major from CS to some form of Engineering in this time frame, ideally some "hard-science" engineering like Chemical Engineering. CS was seen as a dead-end, easily exportable coder job, and well-meaning relatives really wanted me to get an engineering degree instead.