Welcome, aboard, JB. You're doing fine for a first time out. The fun is just beginning. Things will get easier.
Have to agree that a 50 yard minimum for a rifle is a bit inflexible, especially a rimfire, given that a lot of people, myself included, often shoot at 25 yards and even 50 feet to do a rough sight in before fine tuning at the actual distances we plan to shoot.
Okay, so be it. Let's talk solutions. What I would suggest, then, is adding a spotting scope. Having to walk down to a target every few shots just adds to the frustration and makes what should be a simple operation into more of a headache. 22 holes at 50 yards can be tough to see, even with a good 10x binocular (which we always bring to the range), unless the shots happen to land in a "shoot and see" type target. In a plain black bull or white paper, though, sometimes yes, but mostly no with the binocular. You do need more magnification to do it, reliably, under all conditions, all kinds of targets. For 50 yards, doesn't have to be a big, high dollar spotting scope. Even a small, inexpensive 20x50 scope will do, but you'll want something larger and better if you plan to move out to 100 yards and beyond.
Not to get too far off topic, but coming to the range with a spotting scope is also a matter of range etiquette, even though a lot of shooters fail to consider this. Asking other shooters to stop shooting every few shots so you can walk out and go look at your targets won't win you any friends, especially when that walk to the targets is at 100 or even 200 yards. Our club range is set up this way and it is a pet peeve of mine. Enough of that, though.
Also, for sighting in, use a rest with a soft surface. If your range doesn't supply shooting bags, go to Wal-mart and buy some or make some on your own. Shooting from a proper rest will also greatly aid the sighting in process and a lot of rifle shooters do most of their shooting from a rest, anyway. Not all mind you (as you'll see on this forum), but most.
