As Kimmo says, it isn't a question of the material, but how much of it and how it's used.
Unfortunately for you, most carbon bikes are at the high end of the spectrum where designers rend to be very concerned with keeping weight to a minimum.
Most makers design around 180#s being near the high end of the weight range. So, if you weigh over 200#s, I suggest you check with the manufacturer as to whether any product is suited for your use.
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