Hi Big J, First let me welcome you to LR Hunting.
My re-barreled Browning is pictured and described on page 2 of this forum
under Rifle Porn... just a small joke for those of us who enjoy semi custom rifles
I found that a McGowan #4 Douglas profile was almost exactly a Browning barrel profile, only heavier. The Browning 'stalker' barrel weighs 2 lbs 8 oz. This #4 weighs 3 lbs 7 oz ...in 7mm, and shoots like a house a fire.
Finding a stock for a Browning A Bolt is the hard part. Stockade Stocks seemed willing to build a synthetic stock for me. Boyd stocks had a laminated stock that would fit. And that's about it. Except for whatever you can find on Fleabay or Gunbroker.
As for future calibers, any long or short action cartridge with a '06 base will work easily. I recommend a 280.
Best of luck with your new build.