There is a small program called BeamBoy that will give you load, stress and deflection for all kinds of steel beams and shafts. Also a lot depends on how you design it. If you minimize shear loading on your welds, then you can get away with much smaller material under compressive loading, and the welds just hold it together. Of course it would be more stable with the heavier tank on the bottom, but I realize that's not what you want. With the right design you could do the whole thing with 1"x1"x.120" square tube and it would be capable of supporting 2000 lbs. with less than .020" deflection. 1.5" sq tube would reduce that even more. Since you have a distributed load instead of a point load you don't need to build it to take all the load in the center of the beams. With a fully welded unit, and bracing required will be minimal. I know visibility is very important to this project. Stability will largely depend on the floor this is placed on. If it's concrete, no problem. However, if it's wood or carpet, there will be a lot of load in a few small points and any motion of the substrate will be magnified at the top and make for something that feels unstable.
Long arc, short arc, heliarc and in-the-dark!