Cuckoo to cuckoo is the best way to propagate the plumage pattern.
It sounds like you don't really understrand sex-linked genes. All male birds have two Z chromosomes; all female birds and one Z and one W chromosome. The W chromosome is shorter than the Z chromosome, meaning that there are gene locations that do not exist on that chromosome. With non-sex-linked genes (autosomal genes), every diploid animal has two copies of each gene location (locus). For the sex-linked genes, males have two loci and females only one locus.
Z: ---------------------------------------------------------------
W: -----------------------------------------------
At each locus is always one of the variations (alleles) for a specific gene. With barring, the choices are B (barred) and b+ (not-barred). A hen has only one locus, so she can only carry one or the other. A cock, on the other hand has two loci, so can carry two copies of B, two copies of b+, or one copy of B and another of b+. With established, exhibition barred or cuckoo birds, males almost always carry two copies of barring. In breeds where a barred/cuckoo variety is not well-established (such as silkies), and in hatchery birds males with one copy of barring are common.
Breeding to black or blue will give you some barred offspring; however none of the resulting males will carry two copies. If the hen is the cuckoo, all the barred offspring will be males. If the cock is the cuckoo, both genders will receive barring, but not all of either gender if he carries only one copy.