I think, for Danish, if your German is decent, look to older, more formal Danish books you can also find in German, or maybe try to find work in both Danish and Low German / Plattdeutsch and see if it forms a good midpoint for you.
Dutch might possibly also form a decent parallel - the combination of my Norwegian, German and English means I can slog my way through more formal Dutch reasonably well without ever having tried to learn it.