Is it possible to get accommodations for the LSAT? I feel like this is very much something they should work with, because it sounds like you are a completely compétent student despite your injury, and a standardized test should not hold you back.
That or apply to McGill, where your grades are good and they don’t need an LSAT (I think)
For UBC you could get a better gauge of your chances if you converted your GPA into % form. There's an index calculator that's stickied on the UBC forum - as far as I know it does a pretty good job at predicting your chances.
Overall your stats are great. It's definitely worth applying there.
they recommended a Nov write, however they take Jan write as latest write.
On their site:
LSAT scores for the past 5 years may be used. To apply to enter the program in 2021, it is strongly recommended that the LSAT is written by November 2020. The LSAT must be written in January 2021 at the latest.