I had a similar problem when I was trying to determine which items had free shipping and which had calculated. Here is what I did. Since your request is a little different I am not sure if it will work but it will only take a few minutes to find out.
Go to your list of active listings.
Above that list, off to the right it will say "customize table". Click on that.
A new box will open with assorted columns one of which will be "pricing". Down that list will be a box Shipping Cost: Click on the box.
That will automatically move it into the right hand box marked "Arrange". Most likely at the bottom of the list. You can move it up and down if you wish.
Then click save.
Then, back on your active listings page, look for the column marked "shipping cost" Hover your mouse over the words "shipping cost" and click. It will then sort all your listings in ascending order.
Now in my case it put all the "calculated" at the top of the list and all the "free shipping" after that.
Should do the same for you by "flat rate", "Padded", etc.
"Laissez-faire capitalism (AKA The Great Material Continuum) is the only social system based on the recognition of individual rights and, therefore, the only system that bans force from social relationships." ~ Ayn Rand
