the Treemap chart is designed to visualize how a single number (single Measure) is broken down by its parts (one or more Dimensions). I have a hard time understanding the meaning of having both multiple Dimensions and multiple Measures in a Treemap... Can you please explain the requirement? How would you like to visualize these 3 Measures across 2 Dimensions? Can you create a mock-up image manually?
Once you can describe how you'd like to visualize these several Measures, we might find a work-around for you.