Trying to find a cover that will also allow my Apple iPad 15.06.01 to stand alone when I use it

What specific model iPad do you own? 15.06.1 is not a model. You are likely referring to iPadOS 15.6.1, which is the operating system.

The model can be found at Settings > General > About > Model

You can find plenty of iPad cases/covers in places like Amazon.

Apple Store online and actual Apple Store locations may also have a case/cover for your year and model iPad needs.

Good Luck!

You're welcome. Now that you know the actual iPad Model a quick search in Amazon, will undoubtedly offer many options for you to choose from.