OTTAWA BIRLERS would be an ideal name to replace the Rough Rider name because it has the same meaning, and is fairly french friendly (I think). To Birl means to revolve a log by treading, hence a Birler is one who revolves a log by treading.
Most Canadians are familiar with Birling, even if they don't think so. The following is a clip of birling, and I'm sure it will put a smile on the faces of Canadians with true patriot love. Enjoy!
http://www.youtube.com/watch?v=upsZZ2s3xv8