The obvious alternative is to throw our trash into an active volcano:

"This happened at Kilauea in 2015: Blocks of rock from the crater rim fell into the lava lake and caused a big explosion that ejected rocks and lava up and out of the crater. Anyone who threw garbage into a lava lake would have to run away and dodge flaming garbage and lava."

I guess we'll just have to live in the mess we make for ourselves.