Anyone make a carbon wrapped barrel equivalent to a #3 Bartlein?

Bartlein has a #4 CF.

If you are going as small of a contour as a #3, just shoot a steel barrel. Maybe flute it of you want to lose a bit of weight.
 
You looking to use a stock with a small barrel channel?
Proof Sendero Light are pretty lightweight. But bigger than a #3 for sure.
Christensen Arms has some of the lighterweight barrels out. But way bigger than a #3.

#2b fluted is about as light of a steel I have seen.
 
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