I saw a guy had one of these wheeled ones yesterday and it went up top on an ERJ 145 without any trouble. So I have to think it would work for the CRJ 200 but can't swear. It's cheap so not much lost if it doesn't work.
http://www.costco.com/Ful-Carry-on-U...100305905.html
I'd go get one today to try it but I don't have a Costco membership.