You are intending to embark on a career that's going to involve designing, writing and debugging programs for at least a third of your waking life--for decades--and you have no desire to write programs. Is that right?
You might want to re-think that career choice. It doesn't sound like it will make you very happy.
That may be pessimistic, but it's a possibility. There's a lot to learn--mostly after college, it's true--but I don't know how I could have put in all those hours if this wasn't something I'd do (and have done and still do) for fun. Write a horoscope generator or a text adventure or you own personal password safe, or a calculator that has what YOU want in it, or a mini web-scraper to grab and display the latest xkcd comic. Whatever. Your choice, but find some way to keep busy writing code and bumping into problems you don't know how to write, so you have to go learn something you didn't know before, and so on.
As for what language, that hardly matters. Writing code and getting it working is what gives you experience in using a computer to solve problems. You're learning C, though, so find out how to use more of C than the piddling bit they'll teach you in a class geared to the slowest boat. When you take another language, do the same thing.