Buy biodegradable poop bags
Fill with poop as needed
Toss into ravine
The bags are "biodegradable" so that over time they will breakdown in the landfill, where they are meant to go. Not in the woods or hanging from a tree or stuffed under some stump trailside where they end up when some misinformed dog owner throws them there. If your dog takes a dump on the trail stop and flick it off into the woods with a stick where it will biodegrade all on its own quite rapidly without a bright blue bag around it.
Biodegradable dog s#it bags are meant for more urban settings where garbage cans can be found. Use them when your walking your dog around in the city.