This is more or less what I do -- I leave the door cracked open for an hour or two, and then put away all the actually dry dishes. Everything else goes into the drying rack for a finishing dry.

The biggest problem with this is some of the not dry items have so much water on them they end up getting everything wet again when you even so much as slide out the dishwasher racks.

But mine is a cheap samsung dishwasher provided by the landlord, so I don't expect it to be terribly effective. Mainly I use the dishwasher when I forgot to do the dishes and need to start cooking and need the sink. It's basically an overflow sink for me.