FWIW, Here's my understanding of the pro's and cons's of Carbon wrapped barrels...
Pro's: Lighter than full steel construction, Stiffer than full steel construction, larger diameter faster cooling
Con's: Carbon wrap is more brittle than steel, the barrel is far easier to damage or chip than a full steel barrel, Price, Larger diameter makes for fewer stock options. Not all sporter stocks will accept a barrel as large as most carbon wrapped barrels are. Drastically thinning the foreend of a sporter stock to accept a barrel this large can make them flexible, and I wouldn't really recommend it (personal thoughts). Next time you see a rifle with a carbon barrel, try to push the stock to the barrel, I bet you can... Try the same thing with a sporter rifle with a steel barrel and you will see what I mean... Foreign pressures from the stock to the barrel are not great for accuracy and repeatability when shooting...
Ultimately, the biggest thing to remember is that a carbon wrapped barrel that doesn't have a high quality steel barrel underneath isn't going to shoot well. You have to start with a quality barrel to finish with a quality barrel.
I have handled a few of the Fierce rifles. They seem like quality firearms. From what I understand, they are Sako 85 knockoffs being manufactured in Canada and assembled in UT. They are drilled and tapped for Remington 700 Long action bases (even on the short action rifles), and use most Sako replacement parts. Sako magazines are interchangeable. And Might not be a bad option as Fierce list 4 in the magazine for standard calibers while the Sako mags will take 5.
If you are interested, Sportsman's warehouse and Bob Wards here in MT both are putting a few Fierce rifles on the shelf. With a standard Steel barrel, most have been selling for somewhere right around $2000. The Bob Wards in Missoula had a Carbon Wrapped .300RUM in a really stupid thumbhole stock on the shelf for a while, not sure if it's still there or what the price was, but I want to say it's about a $800-1000 jump in store for the carbon barrel.
Were it my call, I'd either get a steel barrel and put the extra $$ into better optics, or if the budget allowed for the optics I want and the carbon barrel, I'd probably spend a little more and get a rifle from GAPrecision, H.S. Precision or another full custom. most of those start right around the $3K mark.