You might substitute a .025" shim for a .018". It won't be exact science, but if you end up with an additional .012" for the preload, you won't change the backlash that much if you add .005" on one side and .007" on the other. You would need to drive the cast iron shim next to the thickest shim you have in your stack, not the thinnest. You could also determine the total shim size using the smaller shims and order the correct cast iron shim, if you want to wait a few more days to put your car back together.
I think this is the best option.