You can use the chaos reroll on the cube. If there was a stat you didn't want the cube to switch, go to the Occultist and choose the option to change that stat, for instance, your strength GA. However, once it give you the options to switch, just choose the option to keep the current stat as Strength.
Now, when you go to the cube to reroll it, it can reroll other stats, but it won't reroll your Strength GA. But, as to what the stat will turn out to be, that's totally random.
If your helm is a rare helm, you can just choose the option to remove a stat. Let me know if you have any more questions.
That makes zero sense to me lmao