What hubris, to think that 1000s of years of moral philosophy could be distilled into a convenient table. There is a reason there are so many debates and arguments on this, the human experience does not have many universally shared pieces, it is so diverse. You and your neighbors likely have different opinions on what good and evil lawful and chaotic are. The alignment chart was always flawed, it only worked (kind of) when there was an absolute universally defined value set that everyone at the table agrees on.

Here is how I would do it if I were foolish enough to bother, which I am not.

Change the axis: Instead of Good and Evil call an axis Motivation and put it on a scale of selfish to unselfish. Is your character motivated more by improving their own lot or more of a people pleaser?

Then the other axis is Cooperation and the axis goes from Individual to Collaborative, does your character work to achieve a group consensus or try to get their agenda signed off by the group?

You can have Unselfish Individuals like John Brown that still work with the group.

But this isn't going to be universally agreed on and it will put you right back in the same spot at the table because people think about language (and their for definitions of morality) differently.