I'm right there with you. Here's what I've figured out the hard way with getting anyone to make extra thin profiles. Use LRI, AND send them exact dimensions or better yet, send them a profile to copy. I recently spoke with them, and they are happy to copy the bca profile.I think so, less risk of something wonky with the barrel anyway. I figure I've spent enough money and time on barrels that are decent that it would be worth a little extra in getting something as close as possible to being great; essentially, I want this one to be my "ultimate" UL-UL 223 barrel.
Still thinking about details. Was planning on using the Shaw profile, but I like this little BCA barrel a lot as well. Just thinking I don't want to go overboard on a skinny profile, but this BCA is a good shooting little barrel as far a that goes.
Hopefully that's helpful, and please let us know if you find anyone else that is willing to shave down to such tiny profiles.