ziadel, just get a pair of Remington 750 Woodsmasters.
10-rounders available, you can't legally bring in bigger mags to California anyway. 4-rounders come with the guns; that makes them hunting legal in states with a magazine limit for hunting.
Same mag works for .243 and .308. Accuracy is bolt-action-class, according to Gun Tests; problems with 74x gas system have been fixed. .308 available in rifle and carbine configurations, walnut or synthetic. .243 in rifle length only.
2 rifles cost about the same as one M1A. They're a lot lighter, too, which should help with your back.
Legal in CA.