Bart,
regarding woods in Germany you should have a look to an atlas. You will see that there are some more woodlands in GE, for example Harz, Westerwald, Spessart, Rhön, Bayrischer Wald and others. Estimated 30% of Germanys surface is woodland, nevertheless with lots of villages, cities and streets between.
For heaven leave your gun and all rounds at home! Hunting without permission is called "wildern" and prosecuted without mercy. As hunters have to pay lots of money for their hobby, they have no sympathy for anyone hunting their animals down. And you wouldn´t believe how far you hear shooting in the woods. Alike, hunting with traps is strictly forbidden. German gun laws are as restrictive as everywere in Europe, and because of terrorism German Police is very nervous.
If other guys of your party carry weapons or do illegal hunting, leave the party at once! Old proverb says: "Mitgegangen - mitgefangen - mitgehangen" (i.e. "You´ll with - you´ll be caught with - you´ll hang with"). This proverb works on German courts as well. And in a high populated country like Germany (or Belgium) it is difficult to hide a crime, even in the woods)
Germany has beautiful sights, wonderful woods and lots of buildings worth to see. But our jails don´t belong to that.
Enjoy your trip!
Claus