I was in the same boat as you when I was searching for schools, and was luck enough to have a helpful advisor my freshman year who suggested a degree in Techology Education. The degree focused on providing a good mix of physics, math, and hands on technical work so that you can inspire K-12 students to be future engineers.
As example, some of my Tech Ed courses included:
Engines and Powertrains
Multiple electronics courses
I now have a job at a high school where i can use my oun creativity to create coursework for my students using fun things like laser cutters, cnc machinery, two makerbots, robotics etc. etc.
One of the only drawbacks with TechEd is finding a university that offers it. Off the top of my head, I think Old Dominion University in VA, Texas A&M, one in PA and another in NJ....certianly there are more
Best of luck!