Bob the dies I use more than any others on my press are similiar to your picture. But since I am not a great artist like you I will just try to explain them instead of drawing. Where you have the draw die (which is great by the way) mine are flat and 2" wide. The back ones are 3" wide (I believe) but they are 10" long. The length makes for GREAT flattening and/or finishing after running through a draw process and you have a bowed billet. I also run a billet through those long dies at just below welding heat after running a billet under the hammer to thin it down after the press quits (home-made Kinyon style air hammer)
http://www.billsblades.com/Images/Air%20hammer.jpg . This gives a good finish and straight steel.
I have a BUNCH of different dies, but like I say those are the ones I use 90% of the time.