At YU and Touro you can do both! And the learning is as good as at any “all Torah” yeshiva.
That said, I would like to say something as a professor that may surprise some of you. Most college students are insufficiently mature to take full advantage of the university environment. There is no need to rush college. The people who try to pretend that university education is asur ignore the many gedolim over the past mellenium who attended university and even earned advanced degrees — but almost every one spent years in Torah learnong prior to starting university. I would suggest that everyone consult with his/her rabbi to determine when/if university is the right decision.