First: Congratulations! Your post is what put me over the edge for joining OB. To specifically answer both questions 1) I have a battle board. I use it every time I'm out on the trail. Depending on which one you get, it can be fairly large. However, mine is set up to hold a map on each side, plus a bunch of mapping stuff like pens, compass, protractors and the like. I now call it my "Mapper Keeper!"
2) Yes, maps are still in heavy use. How do I know this? I am a professional cartographer/ map maker. My experience goes way back into the 90s and I earned a BA in Geography with a concentration in GIS/GPS/ and Cartography. At the risk of sounding spammy, I am currently a self employed cartographer that makes maps for two primary customers: Ham radio operators and Overlanders/car campers/off roaders. I started this back in January 2015. In this day in age of GPS everywhere, people still enjoy having a map laid out across their hood. Plus, it's easier to look at your starting point and your ending point without scrolling around. Only downside is that maps have "end" at the edge of the paper. As much as I use GPS (since 1996), I still don't hit the trails without a map. I do use what I make.
And I bet you have not heard of me. It's not you, it's me. I make good maps, but I am a general disappointment when it comes to advertising and marketing, haha.
And here is a pic I took of half of my Battle Board in action while we were scouting a location in the Tellico Ranger District of the Cherokee National Forest a a few months ago.
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