The only two Strantz courses I've played are Tobacco Road and Stonehouse. Tobacco Road gets a big thumbs up, but Stonehouse does not. BTW, that one bad hole on the back nine that Chris D mentions is REALLY bad.
All I can think about now is the Ballyhack trip last fall when we discussed Stonehouse's 14th - some pretty strong opinions on that one. The funniest part was when we pulled up the pictures of the hole, just to make sure everyone was thinking of the same hole. As soon as it loaded, the whole room erupted with cries of anguish - "Oh God, that one!!"
Having said all that, I think I echo most of what people have said.
I played Tobacco and Tot Hill first (loved both), and then Stonehouse and RNK the next summer, and the Virginia offerings were much different. I have a friend whose first exposure to Stranz was SH/RNK, but I assured him that he'll find TR much more enjoyable.
I agree with Chris D, in that Stonehouse has an excellent front 9 and I was enthralled until the mile drive to 10 tee, at which point the course had some warts (both conditioning and a few over-the-top holes). Still, I think you need to see Stonehouse in your lifetime if you appreciate what Stranz does.
Royal New Kent was definitely in much better shape than Stonehouse, and is a solid course throughout (18 being the weak link). I love the bold contours and grand scale of Stranz' work, so I would see them no matter what.
As for walking, TR is probably your best bet, but there are some immense treks at the other 3 courses.
I can easily look past the long walks and some of the conditioning issues at SH & THF (usually just very damp tees), and appreciate the architecture.
My Rankings:
1) Tobacco
2) Tie between RNK, THF and SH Front Nine
6) Stonehouse Back 9