First you will have to find out when the seasons are for the game you want to hunt and in the states you want to hunt and come during that time. You will have to buy a nonresident license in each of those states. Some states offer a limited number of day licenses for non resident small game such as 3-5-or 7 days at a reduced cost. You also will have to show evidence of taking and passing a hunter education course in order to buy a license. I know Germany has training requirements a lot more stringent that the US so bring evidence you went through and passed the program. You will need to carry an acceptable form of ID in addition to your hunting license while hunting. The hardest part will be finding strangers willing to take you hunting with them, not because they are selfish or mean but because many hunters like to know people for a while before they take them out with a gun in their hand to hunt. I think what you want to do is possible but it would be more productive if you can find someone to hunt with before you spend the time and money to come to the US to hunt. You never know, perhaps someone here will
offer.