For a static analysis, make sure the bodies are touching in the beginning. If you have set it up with intersecting geometry for a press-fit, make sure the first element on the surace is larger than the interference. You can make one inflation layer to make sure the first layer of elements is larger than the interference.

Try the model without symmetry to see if that is causing a problem. Lowering contact normal stiffness can help with convergence. Try a normal stiffness of 0.1 or 0.01 if that doesn't help. Set the "Update stiffness" to "each iteration" or "each iteration, aggressive." For nonlinear contacts, setting "interace treatment" to "adjust to touch" helps with convergence. A displacement load in place of a force load can be much more stable. Make sure minimum time step allows for small enough to accomodate problems. Go as low as 1e-5 sec to see what happens assuming "Auto time stepping" is on so it can adjust the time steps larger when convergence is easier.