6BR and 6BRA is awesome. The 6BRA is probably my favorite cartridge, it's so easy and fun to shoot. Very easy to reload for it as well.
Make sure you go with a gunsmith that excels in the trade, along with a good barrel blank. The majority of the precision will come from the quality of barrel blank, the reamer/chamber design, and how the gunsmith cuts the chamber. Insite Arms does excellent work and they have 6BR and 6BRA chambers.
My personal preference for barrels is any of the quality cut rifle barrels that have been in the game for a while - Krieger, Bartlein, Hawkhill, etc. My current 6BRA is spun up with a 4 groove .237 bore Krieger blank, and this barrel has been amazing. It eats up anything I put in it, has scary good precision, and is also pretty fast. Cleans up extremely quickly as well.
If you are going to go mag fed, then I would suggest either using AI AICS mags with the Primal Rights BR mag kits, or the MDT 12 round 6BR mags.
For actions, that's personal preference. My 6BRA is using a Mausingfield, my wife's 6BRA is on a LP Fuzion. Both work well, action is personal preference, plenty of good ones to pick from.
The rest of the rifle is also personal preference: stock/chassis, trigger, rings, scope, bipod, etc. If it matters, I can go through the spec list of my 6BRA's if you want some ideas, but otherwise I'll leave this to you and your preferences.
Just make sure you go with someone that knows what they are doing, and use the best quality components you can afford.