Thanks for all that information, Evey. I have tried fortuniana roses but because of the soggy ground we get here during parts of the summer/fall season, I believe they get root rot. I'm on year 3 of growing several knock-out roses in pots. I haven't had to prune the roots yet though. But they thrive in the pots as long as I fertilize and keep them watered. They wouldn't have lasted a year in the ground here.
I will have to experiment with clematis roots. I have transplanted the 3 I have now twice with no ill effects so far. So I will continue to experiment with that.
Do you think I could plant one climbing rose and one clematis in a large pot together? And then just prune the roots every year in the early Spring?