Hi guys. I've searched for days now on the best place to drain my softener. Draining in the basement isn't San option it seems. The best place I've come up with is my kitchen sink drain. I'm planning on installing an additional p trap under my kitchen sink with an 18" "rise" and an air gap. Does this sound like it would work and is it necessary to have an 18" high rise to drain into? Much thanks!
That should work if your water pressure is not too low. Get an air gap made for a dishwasher, and it should be able to pass enough volume.
I would inject the output of the air gap before the kitchen sink p-trap. That has the added advantage that in the case of a clog, the bowls of the sink could hold much of the water. If you have a garbage disposal and no dishwasher, you could inject into the disposal, as is common with a dishwasher.
Is that nut on the slip joint tee