I don't see a problem with just running it into the scrub, trees or dirt. We have a non treated, grey water tank for our house which takes our shower, washing machine and kitchen sink wastes and it empties by a float level controlled pump, through a sprinkler, which I move around the yard. Been this way for over 30 years with no ill effects.
We do use so called Enviro-friendly products, too.
Perhaps use a sprinkler to help disperse the water.