Unless you somehow manage to destroy your corpse completely in dying, leaving nothing behind (not even bones), it will eventually be found by someone. It might take anything from minutes to hours to days, weeks or years, but it will be found. To imagine otherwise would be to lie. Nobody can say for sure who will find it, but someone will. It is best if those who do are trained for such, or at least prepared for it. In addition to being better prepared for it, those will typically have a system in place to deal with any psychological side effects of finding a corpse. At least it is that way in the Norwegian Red Cross.

Back when we were taught about people who are all out of hope (i.e. seriously considering suicide), they do not go far from others to not be found. They do it to be alone when they make the decision to end it, if they will make it. Our instructors were veteran police officers with extra training in the field of suicidal folks, so they knew what they spoke of.

If you absolutely feel you have to end your life, we think it would be best to do it in a facility specializing in medical euthanasia. It is not as cheap as cutting your wrist or jumping off a cliff or somesuch, but it will not fail and you can be sure that your remains will not be simply found laying about somewhere. In addition, it will not cost society massive amounts of money in the form of Search And Rescue Operations to find your body.