Agree with an OK from the doctor, even though you'd probably be fine without it, it's better to be cautious.
BacardiSteve is right, but a 1000fps spring air rifle may actually have more recoil than the .22 just because of the nature of the way it is fired. my 800fps .22 air rifle actually has pretty snappy recoil for what it is.
I have a Marlin Model 795, great gun. It's one of the lightest stock .22's on the market and it's still very light, but of course, a gun like the Ruger 10/22 will recoil a little less because of the weight. The recoil of .22's seems to be "pushy" in my experience, so you won't have this snappy recoil that you will have to tense up for after the shot, just a gentle push.
So in closing, yes, I think a .22 would be great. Due to being heavier I may just go 10/22, but I'm sure you wouldn't have problems with any of the other lighter synthetic .22's on the marker i.e. Marlin 795, Remington 597, Mossberg 702 Plinkster, etc.