I think youd contact the school you choose and ask about an accommodation or room that def has a thermostat (some just adjust the blower.)
Sure, no one knows cold weather better than the colleges that get a lot of it. But you’ll want to check.
In the right room, the issue isn’t the room. It’s common areas or heading off to the bathroom. Like, some kid left the window open. Or walking to the dining hall.
Good luck with this.