According to my Sierra #5, 2nd Edition, the twist rate in all Browning rifles chambered in .30-06 is 1:10, except for the Browning Model 78 which is 1:12.
Probably the most common bullet weight in the .30-06 is 150 grain. All four of my .30-06's shoot it well, one of which is a Browning 1885.
In order to find what your rifle likes and shoots best, you are going to need to spend time at the range, probably several trips, and shoot a variety of brands. Being a newbie to the .30-06, you might find your recoil tolerance not what you would like it to be. I recommend you shoot your gun a lot to get to know it, its limits and your limits, too. Besides, practice is fun, too! Most good shooters shoot frequently and regularly. When you practice, always concentrate on the fundamentals. You might be surprised how quickly tour performance improves.