| | 243
It sounds like to 243 would be the best bet for you, but my advice not only as a experienced hunter and gun collector, but also as a shooting instructor is to make sure no matter what cartridge you choose is make sure the gun fits you make you is shoulders comfortably and you like the way if fits and feels don't go buy a certain gun just cause someone told you it was a good rifle. With your small frame, the 243 would be the best and the 243 can reach out to 200 or even 250 yards if you know the gun and how to hold. The 06 might have just to much of a kick for a small frame i myself grew up with a 30-30 and the kick never bothered me. But i wasn't small.