If you are looking to currently achieve this in Visualize, unfortunately what you are looking for cannot be done in one simple step. We are looking to improve our animation system in the near future. What you are looking for is "soft-bodied animations" or "mesh deformation animations" and typically those are difficult features for any 3D viz tool.
What you need to achieve can totally be achieve in Visualize, but composting the separate renders together like you have suggested. Hope this helps.