Parents not allowing me to move out for uni

I'm in grade 12 and applying to engineering programs @ TMU, York, Queen's, McMaster, UofT, and Waterloo (unlikely to get into the last two though).

My parents have told me that they won't allow me to move out for university; i.e. I'll either have to commute to TMU, York, or UofT (if I get in).

I'm from a high-income household so money is not the issue here. The reason they don't want me to move out is because they're conservative Muslim parents. They worry that if I live in dorms and then subsequently a student house after first year I'll be surrounded by "drunkards", "rowdy kids", "bad company", etc.

Unfortunately I think I'm powerless in this situation. I only have $3K in savings which is obviously far from enough for a dorm. And since we're high income as I mentioned I won't be approved for any student loans.

Is there any hope for me? :( Or should I just suck it up and accept I won't go to the uni of my choice? :( Nothing will convince them.