I also have Corelle, and use one of those steel, rubber coated lid holders that you can buy at WalMart.
Holds them vertically, and securely. Plates and bowls.
You could also put some of that waffle-ey shelf liner between your plates, if you wanted to, to cushion them a bit, but I have never had one break.
🏡 🚐 Cherish and appreciate those you love. This moment could be your last.🌹🐚❤️