No, there is not.
If you set up as "new" it will be just that. But the minute that you restore from a backup, to get your settings and screen back to the way it is now, you're not setting up as new again.
The only real way to set up as new and have it the way it is now is to re-add/re-organize it all back that way after setting it up as new.
Can't have the cake and eat it too