The question does not specify what's the product represented by the logo, but I think the name/image conjunction refers to something that has to do with the chosen perspective and the shadow: the cyan angle is suspended in the air.
Follow the construction grid will always result in a distorted text, something not very functional for a company image, especially if this text is then separated from the image:
On the other side, the distorted text becomes more presence, taking away strength from the image:
Any element above or below the image will be a weight or a base, breaking this feeling of floating in the air. Gets worse if it's the same color as the main object:
I would personally look for the simple so that the effect of the image makes more sense and has greater visual strength, a situation than the text reinforce the image and its content:
- The main object
- Its shadow on the virtual floor
- The sensation of suspended in the air reinforced by the text floating in the space