Personally, I really like the Ruger LCR .38 Special revolvers. They're compact firearms that weigh 13 ounces, which makes this an attractive weapon for conceal carry and/or people who don't have the greatest arm strength. Even if your intent, as of now, is only range play, getting a more compact firearm is a good move if you ever needed to carry.
One thing I like, for my wife, is the lack of 'thinking' required other than pointing and pulling the trigger. You don't have to insert clips, chamber rounds, ensure your hand isn't in the way of the slide, remember to disengage the safety (since the safety for this firearm is the finger nearest your thumb) or even deal with double-feeding, jamming and misfires from impact. For her, this is great because I was always concerned she would panic, forget a step or have a mechanical failure when she needs it most. For good measure, we put the Crimson Trade handgrip on the firearm and have it adjusted for 20ft -- the distance from our bedroom door to staircase at the end of the hallway. That way, she needs to keep the red dot on her target and pull the trigger until it goes 'boom'.
Although this firearm is a big no-brainer to use, it does have some points of consideration, like the capacity -- The ease of use and reliability is somewhat offset by only having five-rounds in the .38 model. (The .22 carries 8 rounds) This means you need to have a steady shot, or be really fast with your reloads.

Also, I feel like the trigger pull is a bit heavier than I like. I'm not sure if it's because of the light-weight nature of the firearm, but it does require some pull... 8lbs, perhaps? Lastly, the firearm is uncomfortable in the hand after 150 shots. I do fine for 100 rounds, but three boxes will leave my hand feeling bruised.