Hmm, good question. I'm not sure what a 1 bedroom costs. I don't see why you couldn't just call the housing office and inquire. I'm sure they'd be glad to help. It's kind of weird how the lottery works - you can end up getting a large one-bedroom apt for $1300 or a super tiny studio.
PS you could always go for the new condos being built right up the street - a 1 floor apt only costs 5 mil 😀 (no joke!)