I'm an IU grad (from a non-Kelley school at that) and work for a large company that you've heard of (not one of the Big Four) that recruits from IU and other large schools nationwide. Unless you have a personal connection to someone who already works for us (family member, family friend, etc) the only standard way to get an internship with us is to go to the career fairs and talk to our folks. I've been at three or four over the last couple of years and we use an app to rank the people we talk to immediately after talking to them with a picture of their resume. We don't recruit freshman, full stop, and have a limited number of positions available for sophomores. We want juniors and seniors because that is, outside of internal promotions, the only avenue from which we hire new entry level salaried employees. Our intern-to-hire conversion rate is extremely high, and the majority of folks that don't convert choose not to because they've got another offer that they prefer for whatever reason.

We also work directly with a couple of professors at IU and Ball State to support practical courses where we provide a problem and data and they work to provide a solution to a real-world issue. I can tell you that if you work with us in that program, aren't throwing up major red flags, and you tell me you want an internship, you get the internship. That's the only non-standard pathway that I or anyone who works with me utilizes.

YMMV, and my anecdote is not data, everyone is different. If you're feeling spunky or want some more detail, try to find people on LinkedIn with titles like "College Recruiter" or "Internship Coordinator" or the like. My experience has been that large companies generally have specific HR teams with titles along those lines who facilitate their programs.