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this can kinda be a loaded question. It mostly depends on what your doing with it. offroad, racing or everyday driving. I'm sure some has had em to handle lots of HP in stock form while others had em go with low HP.
I know with my stock 351M with a c6 in my 4x4 bronco the stock c6 has been livin heck offroad with lots of high RPM's from N to D to get that extra lil hmp I needed to get out of a hole. My stock 9" has held up well to the same abuse til I got the high traction boggers and snapped both rear axles coming out of a creek we play in in 2wd cause of shot U-joint in my front shaft. With the high wheel spin it had and when the boggers caught traction it was over. which the same happens to bigger axles. Theres really lots of factors to look at how much they can handle.
For a 9 inch with big tires off-raod, about 350 true horse power. Don't know about the C-6, not much driving experience off-road with one except in vans.
With smallish tires they can handle more then you can afford to make if you put a shift kit in the C-6. The Ford 9 is not full floatinf, so it has everything to do with vehicle weight, much less to do with horsepower.
full floating...sorry That just means that all the weight on you truck rides on you axel, so the axel has to handle torsion (the twist coming from the motor) and flexion that is coming from vehicle weight. You might notice in your travels that a Dana 60 axel is not a lot thicker, but it does have to hndle weight so there is less stress on it. For a light rig, say a 1/4 mile dragster a ford 9 can take more power, but not on a truck that gets wheeled hard.