I would like to have a text block with default Cube font and font size, I managed to achieve that using the text block control option. However, my text is not aligned to the right(Cube appears to default to left alignment), how do I achieve right alignment?
Right hand alignment can be achieved by aligning the text in your visio shape to the right side.
Select your shape and in the paragraph section, choose right align. In your visual overview, your text should now be aligned to the right. Both for a shape linked to an object and an unlinked shape.
EDIT
For the shapes with Control=TextBlock option, there is no way to align the text to the right currently. If your situation can't be solved with a regular shape, a new feature request can be made so that we can apply the shape alignment to the textblock.