Should I transfer from my top choice to my home state's public university?

My bottom line is if your not happy there than transfer back. I know a few students that transferred back to their home state and were much happier. I am not a big fan of “sticking things out” unless its absolutely necessary which in this case it is not. You have one life to live, four years of being unhappy at what should be the best time of your life is not worth it.

If your miserable with your college, job, location…change it.

OP are you unhappy “just” because of this one class, or are there other reasons for your unhappiness? I would take the W and retake the class, and be sure to go to office hours, etc. Its impt to learn proper study skills. You have some time before deciding to transfer…just my opinion.