Rising freshman needs help

Hey everyone, I'm in a predicament regarding IB recruiting based on my circumstances and I have no idea what to do.

Here's a bit about myself:
- I will be attending a state school (GT/Ohio State/UIUC) on a full ride freshman year
- I have a transfer option to Cornell for sophomore year which I'll be taking if I don't get into any higher ranked schools as a transfer admit
- I am currently doing a private equity internship this summer (the summer before my freshman year of college)

I ideally want a top BB IB internship my junior year, but I'm unsure how I'll get internships my freshman and sophomore year given that I'll be attending a state school for my freshman year.

The issue for freshman summer internships are that I'll have to apply before I'm at Cornell, and I don't know if I'll get into any internships because of the state school.

The issue for BB sophomore summer internships are that I heard applications open up either freshman spring or sophomore fall semester, and at that point I'll either still be at the state school, or I won't have a Cornell gpa yet.

The issue for BB junior summer internships are not getting any other internships freshman/soph summer for the reasons above, which could make my resume super weak and unappealing to BBs despite being at Cornell or a better school (once I transfer).

I apologize for the long post, but I seriously have no idea how to recruit as a transfer student. I'm willing to grind insanely hard and work my butt off studying technicals, but I just don't know how I'll get an IB internship soph/junior summer with the circumstances explained above. Any help is much, much appreciated!