I had mine recored, retaining the original shell and and factory stamping at the top. We did eliminate the crank-start hole, picking up around 20% capacity - not pure concours, but a big efficiency improvement.
We left the original fan in situ, for the reasons Sam mentions above, putting an electric fan in front of the radiator (more exposed to the elements, but it works very well and I don't take the TR out in typhoons!). It's unobtrusive, and solved all our traditional TR3A heating issues. I can maintain 185f in traffic, at lights, etc, throughout the summer in an ambient 90-95f.