I simplified it. I make virtually the same two meals every day, and I use the same skillet, utencils, bowl, etc. every day. So, I just wash as I go. The sink always has the few items I use every day, but never gets full.

Here’s everything I use every day:

In the sink:
Fork
Spoon
Sharp knife
Large bowl
Small bowl (I don’t really need this, but it’s habit now)

On the stove:
Skillet
Tongs

On the counter:
Coffee mug
Large metal insulated tumbler for cold drinks
Water glass for taking pills