Florida Jim-
Browning and Winchester are part of the same company, USRAC, so if you don't like what you've heard about Winchester service, you might want to keep that in mind. The rifles go to the same repair facility, and I know this for a fact, because my Winchester's repair tag was written on Browning letterhead. It took them a couple of months, two tries, a few letters, a few phone calls, and some worry on my part, but Winchester/Browning/USRAC did finally fix my rifle to my satisfaction. I just got my shipping refund back today, a couple of weeks after my rifle came back.
I do like the Browning A-Bolt, especially the Stainless Stalker. I was recently thinking about getting one in .375 H&H, but somebody beat me to it. A hunting partner of mine has one in .338 Winchester, and he's been very satisfied with it.