If you are going to college for amusement or education it is cheaper and easier to go to a library and read the books for free.
If you are getting an degree so you can function in the goyim’s world, it is rather silly to attempt to be ignorant of aspects you feel might be against Torah such as, to use examples mentioned above, which aren’t all that clear: “Big bang” (some think they got the idea from kaballa), “Evolution” (yet “natural selection” is not even a shailoh or Psychology (which is a huge subject with many specialties). What you might consider is that if you are entering any field with such controversies, is whether one needs to have a level of Torah learning that allows discussing such subjects with frei Jews and goyim, and learning the halachos of such matters (which get complex if they involve Torah she baal peh, especially kaballah’dik issues, and especially for women who customarily get only a limited Torah education in such matters).
If you really want a subject that raises no problems (no ethical concerns upon which you’ll have to know halacha, no issues of subject matters verging on kaballah, etc.), avoid the humanities and social sciences, as well as most of the sciences. Mechanical engineering should be okay as long as you avoid modern physics. Math shouldn’t be too bad. If you really want to avoid all possible halachic issues, consider something dependent on manual labor.