Thank you for the provided images.
The RadTaskBoard control does not provide such a compact view. You could try to achieve it using custom code. In a few words, the RadTaskBoardCard exposes ContentTemplate property. Inside you can place TextBlock and bind its visibility property to property from your viewmodel.
To better demonstrate this I have prepared a sample project and attached it here. The attached project uses NoXAML binaries with a Fluent theme applied. When you run the project click on the CheckBox in the upper left corner.
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