ok, do this then.

Create New.
And use the chooser.

(tip, put raid targets over the toons heads in the order you want.)
Start with the first one being {Star} then {Circle} etc etc. And use one account and click the choose button.
get that list in order as you like it, hit save.

highlight that list, and copy with CTRL+C.

Go to the remaining toons and, open, make new, press CTRL+V. Save.

You should now have the setup as 4,2,3,1 for each toon, set up in a newly named profile.

Now, everytime you start your team, you will need to select those named profiles, but the work is done, and you can just play.