Just wanted to bump this thread for more input from others. To begin with, I sit near the front in most classes and ask/answer questions here and there without brown-nosing/being a smart aleck, but I just avoid office hours because I don't necessarily ever need them. It's awkward just randomly going into office hours just to say "Hi, my name is ----, this is what I want to do with my life." *Giggles then walk away*. Or faking interest in a professor's life. Whenever I go into review an exam, it's usually just stupid mistakes so I never really need too much clarification either. Class sizes are huge and I can't find too many small classes. Smallest class size I've found recently is 60 students, but she has 3 whole other sections so ~180 students.
I've only gotten to know my organic professor, but that's because they took me on as a TA. I guess I can jump aboard one of my professor's research and make a bond that way (if I find their research studies interesting that is).
One of my peers told me they just did really good in a class, visited a couple times, then asked for an LoR. I feel like that's not a good connection.
It doesn't look like there will be much opportunity to engage with professors in-person not just the Fall, but maybe even the spring. Our institution already announced the Spring will be online the first month. There is a professor that knows me from a previous class (at least I think so, visited office a couple times) with small class size, but she's teaching remotely with exams in-person monitored. Her class sounds pretty interesting though.
EDIT: Kind of makes me realize why everyone had their cameras on during lectures with the professor and were breathing so loud instead of mute. Guess they wanted the professor to see them with their name above their faces.