I used to hunt with a remington 742 in 30-06. I found that a medium burn rate powder was best for this gun. I tended to use IMR 4320, but found that I would get pressure signs with higher velocity loads. I was happy pushing 180 grainers at 2470 fps for whitetails, but had problems when I tried to get 2600 out of it for moose. I was going to try a slightly faster powder when my attention was drawn elsewhere.
Since you're shooting a browning which is mechanically superior to the remington, and you're planning to use lighter bullets, I don't anticipate you having anything like the problems I encountered. I shoot 4320 in my .308 BAR (180's), and the recoil is hardly noticeable. If you have some of this powder on had, give it a try.