I had a Handi Rifle in 22 Hornet back when I was a teen and into my early twenties that shot pretty well, especially considering my eyes have always sucked and it would group around an inch with irons at 100yds. Just a good, fun little gun that was cheap as heck to feed. I had a few hundred cases, most all purchased pre-fired from the brass bucket at the local shop, and would load them up and shoot them all every weekend, and sometimes again through the week. I couldn't account for all the squirrels and rabbits that gun took, but I know it was well into the hundreds. And if I missed, it was my fault. I only had a Lee Loader for it at the time, no "real" dies, and I scooped the powder with a Lee dipper as well, so my loading methods were archaic at best, yet it still shot very well. I even hand reamed it to a K-Hornet with a reamer and tap handle, though my Dad helped as he's a master machinist and knew a lot more than I.
I eventually traded it in, as it had started to lose accuracy over the lat summer I had it. But I bought it used and put over 15,000 rounds through it, so it's likely the barrel had finally had enough. I figure after several years, hundreds of dead animals, and over 15,000 rounds, I got my $90 out of it. ;D
I have been seriously considering getting another to go with my Savage 22WMR that I picked up recently, as the 22WMR does cost a bit more than a Hornet would to feed and doesn't have any more power.
The Savage lightweight varminters don't look all that appealing to me, with their over-sized rimfire actions. And the screwed and pinned barrels, that are sleeved as well ???, don't appeal to me, nor do the "studs" they call a recoil lug either. I do like the three lug bolt, it's extractor and the plunger-style ejector, but being encased in a rimfire action just totally ruins the whole deal for me. (I almost cried when Savage announced that this was the action they were going to use for the 5.7 FN, as I had wanted one for months and was ready to plop down my cash, until I saw what they put it in. It's why I own a 22WMR

)
I am not a fan of the Rugers either. I have just never seen or heard of one being exceptionally accurate, only exceptionally inaccurate.
The CZ is what I would take from your 3 choices. I have used a CZ 527 Kevlar Varminter in .223, and it was one of the nicest and most accurate factory rifles I have ever shot. It handled excellently, the action operated quite well, and it just felt like a very solid little rifle. Not at all how I expected a small "mini-Mauser" to handle at all. It really felt every bit as solid as a full size rifle, yet weighed less. Although it was still very stable, even without the extra weight being there.
If I was to have whatever I wanted, it would either be a Handi Rifle, or I would build one using either a Savage action or a custom action. If I was going to walk around with it, Handi Rifle, hands down. Very compact and light, yet plenty accurate enough to make off-hand shots on small critters. If I was going to shoot from a bench or bi-pod and only travel short distances with the rifle, it would be a bolt action custom or semi custom.
Good luck in whatever you buy. And rent a K-Hornet reamer ASAP as well, it makes the brass last a lot longer and gives it a bit more oomph as well.
Kenny