New Dawn is a repeat bloomer.....it should be in bloom from May through to frost. Unless you pick a very early blooming clematis like a macropetala or alpina, you will have both the rose and vine in bloom at the same time at least once during the season. And since both of these are type 1 or no prune, I'd stick with a type 3 and let them go together :-)

As gardengal said, the type 3 bloomers are not the early bloomers, so you will have to settle for having them bloom with or after New Dawn. Most of my type 3 clematis start blooming in early to mid-July if that helps with your planning. I don't know when New Dawn starts blooming.

Thanks for the advice. I will go with a type 3 as I did some more reading on that after your replies. Now the fun of choosing exactly which one!