Which map projections would you choose? A difficult decision: http://en.wikipedia.org/wiki/List_of_map_projections
And this is just the neatest thing to play with: https://www.jasondavies.com/maps/hammer-retroazimuthal/
It looks like one retroazimuthal variant (the Craig retroazimuthal) is sometimes called the "Mecca projection", so you know which way to kneel at sundown if you're into that sort of thing.
I'd rather have a gigantic globe (that can also be dismantled for moving or storage) than have a wall map.
Edit: Just discovered that if you prefer a conformal map instead of one with equal area then you end up with the Mercator projection.
(I think I would take advantage of Mapbox's free plan, which allows for 1 custom stylesheet and enough usage to get the image together. I guess there are lots of people who would be happy to render a stylesheet (especially if a modest fee is involved), but I'm not sure how someone on the street figures that out and gets in contact with them)
I was wondering if you had a specific setup in mind when you said 'just generate', as I did not find the process to be particularly trivial, even for a smaller region (and I do have experience messing around with arcane syntax and command lines).