As you are, by now understanding, hiking and food gathering are not compatible. That is not to say that opportunities don't present themselves along the way on some hikes. They do. Many people do not have the knowledge to safely gather food in the wild. With a good knowledge of wild eatables one can augment their meals in most places but safety is the key and knowledge is the key to safety.
+1 on fishing if you've a lot Ted the time. Hunting -1. Time, weight and restrictions prevent it's usefulness.
Good luck.
Tread lightly.