I'd choose neither for the calibers listed.

The CZ is a fantastic rifle, but the action and the rifle are huge for the cartridges listed; far too big/bulky for those rounds. And, yes, I have a 550FS, and dote on it heavily (9.3x62, and about right for that round, though still perhaps a bit too big).

The Steyr, to me, is an ungainly, ugly, poor-handling abortion.

Personally, I'd grab a Ruger Hawkeye in .308 for the intended purposes and never look back. You could do FAR worse.