I am not totally against the idea and I don't think the world will come to an end if one is built. I mean, if you could keep the initial cost reasonable, why not build one? Especially with the new UV resistant field turf. In the long run, I would think it would come out to be cheaper. And I think the course itself could be designed in much the same way that a grass course would be designed. All except for the rough, that would not be possible, just for the potential of physical injury.
Jack--you are correct. Rich Harvest has an artifical tee, 14th I think, Devils Elbow. (Could be wrong with hole number and hole name, but it has one, I know that)