Well, I have "played" with Alibre, but really have no idea what flexibility you have in "Design Check". If it is anything like Cosmos Express that comes with SolidWorks...DUMP IT NOW AND RUN!!!
By "Quarter Symmetry Model", I have set boundary conditions along the x-axis and y-axis that simulate the entire disk. Think about it for a minute: Any deflection that would pull the nodes on the x-axis in the positive y-direction has an equal force trying to pull it in the negative y-direction. Because of this, you can set "x-symmetry" meaning that the line of nodes on the x-axis can only displace along the x- or z-axes...not the y. Using that same logic, you can constrain the y-axis nodes to move only along the y- or z-axes. That means that the middle node can only move straight down.
As for your model, I'm guessing you are using brick elements, which are completely inappropriate for a thin disk. They are stiff in bending (reduces displacement).
Are you able to set element types in Design Check? If so, you should use plates in your case. This should result in a mid-plane mesh of your solid disk. As an alternative, see if you can use the surface modeling capabilities and just model a 2-D surface of the disk. Apply your boundary conditions and loads and try to run design check. If it recognizes the 2-D geometry, it should use plate theory to calculate displacements and your answer should be closer to correct.
Hopefully this will get you started.