If you can find one, Ed Rayl makes a fine barrel.
If you plan on ordering one from him, unless you have a 2 or 3 year timeline, you may want to opt for another barrel maker.
Without starting a fight here, 99.5% of us that shoot on this site will be no MORE or LESS accurate with a Rice, Rayle, Burton, Getz, Oregon, Long Hammock, Green Mountain, Colerain barrel or even an mass produced, off the shelf CVA, Lyman or Thompson Center barrel.
Unless you are in that .5% that can shoot one hole at 100 yards every time you hold a rifle, then any barrel from any maker will more than suit your needs and will shoot more accurately than you.
Sone barrels demand a premium on re-sale (one with a Rice will sell for more than a Colerain if all else is exactly the same) and some give you bragging rights over the others, but unless you can shoot more accurately than barrel A is capable of, it really doesn't make any real world difference.
I hobby build and am not "brand loyal" to any barrel maker. Most times it comes down to who has what in stock as far as profile/caliber/length etc when I want something for a particular build.
If I needed a straight barrel for a project and didn't already have it laying around, a straight barrel from Ed would not be my first thought. A GM or Colerain would cost half as much and could probably have it on my doorstep in under a week.
PS - for a southern mountain rifle (or anything Virginia, Maryland or south for that matter) I would go with a Southern Classic swamp from Rice. A little pricey at $265 (round rifling) but when the rifle is two or three years old you wouldn't regret spending 100 bucks more on the barrel, as compared to a straight barrel cost.