On my backyard range in Virginia I never worried about picking up the brass from the 22s since I wasn't going to reload that. Here in Oklahoma, my home range is inside the fenced 20 acres we use for livestock and the wife worries that the cows might ingest the brass so she wants it policed as much as possible. PITA, so I might eventually fence in my range to keep the beasts out. I hate walking around their deposits anyway.
As far as the 10-22 goes, I had one years ago that was a tack driver, right out of the box. I got very lucky with it. When I was out on a deployment with the CH46 squadron my 1st wife let her two younger brothers take it out and shoot it for a week or so, and they shot four or five hundred rounds of 22 ammo through it, then brought it back without cleaning it. (As a young Marine, I cleaned it after every use, of course.) She wrapped it in a surplus store wool blanket and tossed it in the trunk of her 74 Pontiac Lemans... and forgot about it. I was gone six months... over the winter. I came home, and when I asked about the rifle, she forgot where she put it ...
When I finally found it, the barrel and receiver was covered in rust, the lands and grooves were pitted, and the bolt was frozen. The trunk seal on the car didn't seal tight and there had been heavy snows that winter. The Rifle had been wrapped in a soaking wet wool blanket off and on for the winter. My Father in Law offered to buy another rifle to replace the one the boys had ruined by not cleaning and returning it to the case where they found it, but ... he hadn't ruined it. SHE should have never loaned out MY rifle.
I always meant to buy another later in life, and in fact went to the Shop to buy one several years ago, and they were out. I ended up with the CZ455 Bolt Action. Never looked back.
Ammo prices around here seem to be slowly dropping. This CCI was a little under 10cents/rnd. 
I lost a 300 Savage while I was away in VN. I'd had my then Father in law (first wife dad) keep it for me. Somehow it disappeared while I was gone. So did my first wife - no loss there. 
