Depends on the riding you’re doing really. If you’re not doing big dropoffs, or coming up short on doubles, or doing anything extreme really, your weight won’t really be an issue. People forget that it’s Force that breaks things, so your weight won’t really matter compared to a guy half your size doing big drops, if you get me.
If it’s just XC riding, they’d be fine. Personally, I’d never reccomend Carbon bars for DH use though anyway, even though I use them on my XC bike, it’s the problems involved with lack of impact resistance with Carbon. Not so much of a problem on an XC bike, but on a DH bike an ally or steel bar will bend whereas a carbon bar is gonna snap in a nasty way if you crash hard!