Patch 3.1 – we’ve been waiting for it.

There are maps where I never had a creature week. So, it must be possible to do it somehow.

Actually, which weeks will occur is generated at the very beginning of the game – on day 1, and it doesn't depend on the map!

P.S. – The player always eliminates Neutrals on the map faster than the AI, and it doesn't matter which week it is.
For a clean experiment, you can always arrange it so that there are no creature weeks in the next 2-4 weeks. Run the scanner and see what awaits you; if you don't like it, restart from day 1 (unless it's a tournament, of course).