Plunging a stopped up sink left stinky water in the dishwasher. (no air gap on this one, and we don't use the dishwasher much, I just didn't think ahead about forcing water that direction).

Running a wash cycle left an inch or so water in the bottom of the dishwasher.

I assumed the sink drain wasn't clear enough, so I pulled the trap and snaked the drain out. It took a long time, it was pretty narrow somewhere in there.

But the dishwasher still doesn't drain completely, just most of the way. I ran a smaller snake through the dishwasher drain hose, it seems clear and the copper part gets plenty hot, so some water moves through there.

What to try next?