Too Late? What are my options? 4th year in November, just starting to cold email

I'm starting to feel screwed. I just started cold emailing and it is Nov. 2. I am a fourth year at a non-target. I started off going for engineering but switched in my sophomore year to Economics. Even once I switched it took probably 6 months to learn the ropes of finance (buy-side vs. sell-side, all the different functions and jobs). Once I finally figured out I wanted to do Private Equity, I learned you had to do investment banking first just to get there. The career switch and a quarter studying abroad killed my chances of a summer analyst position this past summer so now I am trying to get a full-time position for graduation in June. I worked at StepStone Group this past summer, but due to that work schedule and some personal things going on I hadn't had the time to learn all the material on BIWS and start cold emailing people. So here I am, I'm involved in the investment club on campus, I know most of the required technicals for interviews, and I am leading our school's team for the CFA Challenge. Business school is also on the table down the line. Does anyone have an insight or idea of what my options are at this point? Is it too late to get into a decent investment bank?