Juli,
This past winter caused a lot of our roses to die back much farther than normal. My trash can was full of 4' brown canes this week! The roses will most likely be a bit shorter this year, but they'll still grow and bloom.
I know of people who cut their roses back to 8" every year just because they want to keep them a certain height.
I happen to subscribe to Bigger is Better, so I leave any green cane I find. ..
Hope that helps in somed way!