Seems like the only way to change the player settings is to copy the entire “settings” folder from machine to machine … yuck
If you’re really determined to do this, you can probably have some document macro in Revit that deletes all folders in 'c:\Users\YOURUSER\AppData\Local\dynamoplayer\User data' and replaces it with a new one that has the correct path (which you could for example store together with the project)