Love, if you use 5 & 7/8" squares you will have HUGE block....about 15" square. Doubling the size of the segments actually almost quadruples the size of the block.
Why not try 3 and 7/8" squares or even just use 4 & 1/2" squares and trim to a common size - such as 3 & 1/2" after you've made them all. That would give you a 9" finished block which wouldn't overwhelm your quilt.
Jan in VA