No need to fire form the .45-70 brass. Simply run it through your full length resizing die, cut to length, and load them up to your recommended loads. They should work fine. The .45-70 case is 2.10" and the Danish case is 2.01", so very little trimming is needed. In fact, don't trim at all until you run the first fully sized case into your chamber, to see how it fits. Some chambers are a bit long, so you'll want to test fit, and trim to fit your rifle's chamber. That way you'll get the optimum accuracy.
Hope this helps.