Well Dad, I myself have the LA 110GXP3 in 30-06 while my son has the 11GXP3 in 7-08 though I do impose parental privilege and carry it myself from time to time in the woods because it is a compact and light package.
You may or may not have an eye relief problem on the Short Action model. If you are vertically challenged and short armed to boot like me, eye relief is always a huge problem. On the SA Savages I have not had the problem with eye relief that I do on other models and brands. Also consider the youth model if composite stocks don't turn you off too much or have your local smith cut back the stock a tad. Extension rings/bases can also help and I use these on my LA 110.
It is a rare Savage that won't shoot 1 1/2 or better at 100 yards provided the bloke behind the buttplate does their part. With the new accutrigger, these rifles are superb and have triggers on par with any of my rifles that are more expensive and have a higher degree of "snob appeal".
Safe shooting.