Thats what I get for going on memory and not double checking things...
It is actually done via the AAA server, not the AAA profile. I recommend using the GUI for this as there are a lot of things that are intertwined and the GUI "Save As" will come in handy... There is a "clone" command in the CLI, but in this case, the GUI is easier.
CLI -
aaa authentication-server radius xyz (where xyz is the name you want to use for the server)
nas-identifier SSID1
GUI -
Click on Configuration>Authentication>RADIUS server
Add a new RADIUS server by clicking on the existing one, then clicking Save As and giving it a new name
Click on Server Group and create a new Server Group. Add the new Server created above.
Click on AAA profiles (tab)
Add a new AAA profile by clicking on the existing one, then clicking Save As and giving it a new name
Now you are ready to set the new SSID profile to use the new AAA profile.