Bergs and Barefaced are some of the best cabs ever made. If you're short list is between these you're in the right ball park.
At this level there is little difference in quality, ability or design. Bergs and BF will have differences in look and sound so any preferences are purely down to personal taste.
I used Berg's for 8 years. In that time I had 7 cabs, AE and CN 12's and 10's, and I would recommend them to anyone.
I moved from Bergs to Barefaced cabs (I now have 3 of them) and couldn't be happier with the tone, volume and weight.
One difference, I now run 2 Super Compacts to get the same volume I used to get from 3 112 Bergs, so I don't need my 2 ohm amps any more.