Only thing is... East Park is right at the top of a hill! Even if the room is wheelchair accessible, the accom is still quite difficult to get to. Not necessarily a dealbreaker but something to keep in mind.
Also, I stayed in EP last year and I too am a queer leftist state school kid - I found it wasn't the place for me at all! The vibes do change each year, but as EP is more expensive than Laf it does tend to attract more 'daddy's money' types (who are also big partiers). I don't want to swing your vote too much but Laf/ Rowe/St Germans are all pretty good choices (they're cheaper, near the bottom of the big Exeter hill, and though I haven't been in a Rowe/St Germans accessible room, the Laf ones are HUGE😳), and since they are so close together/so populated, you're bound to find people you vibe with.
Wherever you go though I'm sure you'll manage to have a good time - I really enjoyed how EP had nicer accommodation, though Laf has a better location and value for money, and Rowe/St G is a nice midpoint between the two. As people have said above, you can ask for non-alcoholic/quieter flats. Good luck!