I would do the remmy fireball, before the 17 remington. the new 17 fireball, is much easier on bbls, matter of fact, most guys who have been shooting the 17m4 for years, say that it is not overbore at all, and is a perfect cartridge for the bullet, and good for varmints out to 400 yds.
that being said, the 17mach2 rimfire is my fave round right now, I can't even pick up a centerfire anymore, I am so obsessed with it...