If you are looking for an environmentally friendly, convenient, and efficient way to clean up after your dog’s waste, there are several products for this.
There are products which are built for discreet and convenient waste disposal. They are basically a small cloth bag with multiple compartments, usually one to hold fresh bags and another to hold bags with waste in them.
They can clip onto a belt, a leash, etc. Here is one product and here is another. This is a convenient method of eliminating dogs waste because it allows for you to pack your own bags or roll of bags.
You can also find a wide selection of bags that are environmentally friendly and biodegradable. These bags do just this.
A quotation from their product description:
Made with certified bio-based material, they are 100% compostable and offer higher strength than plastic bags. These bags are leak-proof and contain no chemicals for the safety of your paw-tner and the environment.
If these options aren’t convenient for you, you may look into a portable bag dispenser for animal waste, although it may be harder for you to find biodegradable bags for this.
As far as disposing of the bags, if you use biodegradable bags, you could put them in the trash and they will eventually decompose like any organics would. You could also consider using the waste for gardening purposes (compost).
If you wanted to throw the waste into the woods with seeds, this may be a little bit more difficult. You could grab a large leaf (if this is possible where you live) and always have some seeds in the bag cloth bag.
Using the bag as a glove, grab the large leaf, pick up the waste, use your free hand to sprinkle some seeds on it, wrap the waste in the leaf, close the bag over everything, tie it so that you can get it undone, and then when you are by the woods, empty the leaf out of the bag into the woods. This may be complicated, but it is just a suggestion.