You could probably do it at Northwestern University.
At NU, getting a Civil Engineering degree from the McCormick School of Engineering and Applied Science involves 16 major courses, as well as 32 other classes, which include 7 classes in one “theme”, and 5 unrestricted electives (that adds up to 48 in total, because NU is on the quarter system) (http://www.mccormick.northwestern.edu/civil-environmental/undergraduate/civil-engineering/curriculum-requirements.html). Economics, in the Weinberg College of Arts and Sciences (WCAS) requires 6 core courses, 6 electives, and 5 courses in related fields (http://www.economics.northwestern.edu/undergraduate/degree/major.html).
Econ’s 5 related courses can all be covered by Civil Engineering course material. The 12 remaining Econ courses can be divided between the 7 theme classes and 5 unrestricted electives. So its doable!
There is, of course, a setback to this. Unless you have AP Calc credit coming in, this plan will require that you take literally all of your expected 48 classes in Civil Engineering and Economics. If you have AP credit, though, you will be able to take a couple classes not bound to either major, depending on how many math classes you can get out of. On second thought, though, that isn’t half bad. I’ve done the same by being in McCormick and pursuing a German minor (total of 11 classes outside the engineering curriculum for me, as opposed to the 12 you’d have to do), all after switching to McCormick from WCAS, and I still get to take a few classes unrelated to my major or minor!
If you have any questions, or want to hear from an actually legitimate source, you should contact someone at Northwestern. Here’s NU’s admissions page, I’m sure you can find someone to contact there: http://admissions.northwestern.edu/academics/
I hope you find this useful, and I regret that I can’t give you solid info on any other schools, seeing as I go to NU and therefore don’t have intimate knowledge of other schools’ programs.