I go to a really big university that is known for treating its UG students as "numbers". Most of my classes have been 200 students+. Also, I went on exchange last year so wasn't able to solidify any connections with professors at my own school during the second half of the year. I am applying to European schools so I have to submit most of my apps by early January. I basically have no one to ask for an LOR because none of my profs are accessible - if you went to office hours you were either there to ask a specific question or you were wasting your professors time. I am also applying to ~10 masters programs so this would be asking a lot of the prof.
I have a few decent options but nothing outstanding, I'm wondering if someone can offer some advice.
Options:
1) asking a professor from my exchange school -
PROS: the classes were small and I did good work (especially in comparison to many other exchange students who slack off), I think it might look good to have a letter from my international experience?
CONS: I only knew the professors for a short period of time, I didn't participate as much as I should have, no personal relationships (they didn't even have office hours at this school), I live on a different continent so coordinating the letters might be more difficult
2) I did a one month long summer language course (for which I received a grant) -
PROS: I participated a lot, was always there, had the best mark in the class, might be a good way to show off the fact that I got a semi-presigious grant
CONS: the teacher wasn't a professor so its not very academic, was only a month long course, I'm not actually sure she speaks English because we only communicated in the language of study...
3) last year I had to ask a professor for a LOR for the program for which a received a grant... -
PROS: I did really well in his class, he is a well known academic and tenured professor
CONS: I took the class in my second year
BIG CON: when I asked for the LOR last year he made a HUGE deal about me not ever coming to office hours and now being annoying and asking for an LOR (which he eventually gave me) - he basically made me cry it was so terrifying
4) a prof from a seminar this semester
PROS: the class is only 25 people (hallelujah) so I can participate more and he can get to know me academically
CONS: I don't want to come off like I'm only coming to his office hours in order to get an LOR - these are due kind of soon so I would have to forge a relationship ASAP and I feel like it comes off annoying to be like "hey wow so interested in your research, btw can you please help me"
TL;DR: I have no one to ask! I know this is my fault because I never reached out but at my school it is hard to do so. Please help me in any way possible