I took a class last year and made a quilt that had a 1/4" black border surrounding each block. (Never again!)
The teacher suggested we cut the black strips at 1" instead of 3/4". Sew them on with the regular 1/4" seam. Then from the back, line up your ruler on the seam line and trim to the correct size. It did make it easier to cut and easier to sew on.