I think a lot of the apeal of tikka, particularly a ctr or varmit is the barrel. Why go and monkey with that before you know it doesnt work? For the cost of a carbon fiber barrel you can probably get into a used t3x lite if you needed it, and then have dedicated rigs. I say dont sweat it.
CF barrels dont handle heat as well from what I have read, over continuous strings of fire. For a target gun, the ctr is already really great blend of heavy enough to get decent strings in, without being too much of a boat anchor.
It also totally depends on your style of hunting. If you're hunting from a deer blind, the weight wont matter. And if you're hiking it through the mountains, you will want a light gun and light scope.
I'd also go out and see how you shoot off hand with it. You may be suprized at how stable a "heavy", well balanced bolt gun can be.
Edit: just to add to this. The CTR has two good things going for it, over a base tikka. The heavier threaded barrel, and the mag system. Why go throw it into a bravo, regating the dbm, and then replace the barrel? Do you have the ctr stock and mag still? Around here you will never shoot far enough to need a reticle in your scope for hunting, so if you do, you could get a cheapo used t3 lite in whatever caliber, say 400 or 500, and a decent low power hunting scope, drop it Into the ctr stock.
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