You definitely need large deformation, the question is does Ansys large deformation use Total or Updated LaGrangian formulations (sorry, not an Ansys user). Either should do, but that may have some influence.
I hope I'm picturing your set-up accurately. In my mind, I originally had the tank mounted vertically, but now, I guess, I'm picturing a horizontal tank much like a propane tank only instead of the saddles, you have two bars running down the length. Either way, I'm assuming the bars are mounted to something that is much more rigid than the tank (concrete floor?).
To prevent the rigid body motions, you need boundary conditions at the mounting location and symmetry conditions along the appropriate symmetry planes.
If you are getting rigid body motions for this analysis, it sounds like something is not tied together appropriately. Run a modal analysis. You should get a very large displacement (nearly infinite) at some point in the model. If large portions of the model move, parts may not be attached properly.