I went with the Special when I took the class, and am very glad I did.
Since you're building a rifle from mixed USGI parts, adding a new Criterion barrel and a new CMP (Dupage?) stock made sense to me. It's a new Garand for all practical purposes, might as well make it as new as you can.
You're not simply assembling a bunch of parts as you do when building an AR: you're going to be actually fitting the parts as you go, lapping the bolt and cutting the chamber on a new barrel, fitting up a new stock, fitting the gas cylinder and all the internal parts, making a match-legal trigger, etc. The gunsmiths teaching the class are a wealth of information, and extremely willing to help you build a really good rifle. They won't do it for you: they help you do it.
You'll have a blast. I wish I could re-take the class.