I don't own a CZ centerfire, but I do own several in .22 rimfire - excellent rifles. I own a Ruger Compact, in 7mm/08, and it to is a fine rifle, with low recoil. Another rifle not mentioned here is the Kimber #84. A couple hundred bucks more then the others, it comes in at well under 6lbs, nice walnut stock, accurate, well made, and using a 22 inch barrel. Problem is a lot of makers use full size actions, then have to cut the barrel too short to save weight. Screws up the balance on some rifles, as well as alters the balistics. Kimber, and it sounds like Savage, downsize their rifles to fit the cartridge. I have a #84 in .308, and it is a tack driver, and balances well.
Larry