If you're going to have it re-barreled, there are a few things to think about before having it done. Krieger makes outstanding barrels. So do Bartlein, Shilen, Brux, Obermeyer...you get the picture. Although barrel availability is pretty thin right now, a major consideration for me would be could I find one of the desired specs from a reputable barrel maker that was ready to go. Otherwise, you may be looking at 8 months or more lead time.
Second, that contour barrel is pretty heavy, although it should work well. You may want to contact Krieger and see just how long you can go with it and still make weight with your rifle. Better to do it now than later. I'm guessing you could probably get away with at least 29"- 30" length, which would help a lot in the velocity department.
Third, what ammunition do you plan to use in competition? You want to be sure the reamer used will be compatible. If you want to go with different chamber specs to accommodate a longer (heavier) projectile, now is the time to do it. Make sure you get the reamer/chamber specs squared away with your smith beforehand; don't leave it up to chance. Doing a re-barrel gives you some good opportunities to optimize your rifle for F-T/R competition, so make sure you get everything set up the way you want and you'll be very happy with the results in the long run. Good luck.
BTW: With the extra barrel thickness, you may want to use Badger High (1.125") rings. They will give you the clearance you need, especially if your scope bell is very close in the 1" rings. Plus, they come in the alloy version, which are lighter and may help out with the overall weight. These are what I use with my NF 12-42x56 scopes and I'm very happy with them. The Med/High (1.00") rings were a little too close for me. If you do decide to get taller rings, you'll probably need to raise the comb a bit as well. If your rifle has an adjustable cheek piece, you're GTG. Otherwise, a buttstock cover with comb padding/spacer will do the trick for very little coin.