Based on my experience, my vote goes to Shimano for new hubs, SA for old hubs.

I've had 3 Shimano hubs, a Nexus 3, 7, and 8. The 3-speed was quite simple, has an amazing (And kinda loud) sound when coasting, and never gave me trouble, even in winter. The 7-speed was covered in grime and had an extremely worn cog with over half it's teeth broken when I received it. I cleaned it off externally, put a new cog on, and it worked flawlessly through 2 winters. The 8-speed saw winter use as well, and only had issues with the cable and housing rusting out, an issue that could happen to any shifting system. The 3 and 8 speeds had coaster brakes, which also worked great. I'm building a new winter bike for this year, and I'll be using a Nexus 3 on it.

I've had the Sturmey Archer AW on a few bikes, and overhauled a few as well. It's a relatively simple design, has lots of spare parts, and is quite reliable. I have used one in the winter and it did a fine job, though with an exposed indicator chain I suspect it would be easier for water and grit to enter the hub in really bad conditions. It is impressive how many of them sound perfectly happy when given a bit of oil even when they have spent 50 years sitting around in imperfect conditions.

Sturmey Archer's newest offerings haven't left a great impression on me. So far I've worked on 3 coaster brake models, and all 3 have needed the brake assembly replaced for various reasons. They did seem to shift fine at least. But combined with other anecdotal evidence I've heard, I have no plans to acquire any new rear hubs from them.

I've test ridden a bike with a NuVinci N360. It's a cool idea, but felt like it had more resistance than any other IGH I've tried. I like the dual cable idea, and combined with not having to shift to a specific gear I imagine it would be super reliable in winter as long as the hub is well sealed.

Even with a bike shop discount, I still see a Rohloff as outside my price range. I haven't even seen one in person.