I recently bought a new barrel and went with a Bartlein. I was in the same boat and did not know what brand to go with. I looked at Hart, Broughton, Krieger, Lilja, Bartlein, McGowan, Douglas, X-Caliber, Pac-Nor you name it I looked them over. I heard 99% good about all of them. What really was the deciding factor was what barrel I could get that was instock and was the exact length, contour, caliber, and twist I wanted. It happened to be a Bartlein because everyone else was either out of stock, had at least an 8 week lead time, or did not offer or carry exactly what I wanted. Bartlein is also currently one of the top barrel makers in the country so I got a great barrel shipped to my house in less than a week.
If you are not worried about the wait, then draw a name from a hat haha. Honestly you can't go wrong with any of the top names. Take a look at the Benchrest, F-class, and PRS equipment lists and look what the pros are using. You will find different barrels in all disciplines but a few pop up in all of them.