I thought about doing this in terms of introgressing the blue egg trait into a Leghorn background. Here are the breeding steps I would take.
1. Cross a blue egg breed X leghorn hens (F1 chicks produced)
2. Raise the chicks to maturity keeping only the hens and verify each lays a blue egg.
3. Cross the blue egg laying F1 hens to a leghorn rooster again (Back Cross 1 chicks produced)
4. Raise the chicks to maturity and again keep only blue egg layers (50% of hens lay blue)
5. Cross the blue egg laying F2 hens to a Leghorn rooster again (Back Cross 2 chicks produced)
6. Raise the chicks to maturity and keep blue egg layers (50% of hens lay blue)
7. Cross the blue egg laying F3 hens to a Leghorn rooster (Back Cross 3 chicks produced)
8. Raise the chicks to maturity and keep the blue egg layers
9. DNA test several roosters to find a few that carry the oocyanin gene.
10. Cross the blue egg laying BC3 hens x the oocyanin positive bC3 roosters. (Intercross 1 chicks)
11. Raise the IC1 chicks to maturity and DNA test at least 200 for homozygous oocyanin.
12. Out of 200 IC1 chicks, 25 hens and 25 roosters should be homozygous.
From that point, it is just a game of mating the homozygous roosters and hens and selecting for desired traits. It would take 6 years under ideal conditions.
Leghorns have simple comb so it would be much easier to start with a single comb blue egg layer. CCL's are possible, or if some of the Blue Egg laying Brown Leghorns could be obtained from Keith Bramwell, it would be dramatically easier. All you would really be stabilizing is the white feather color combined with blue egg.
This is much more complicated when a breed such as Silver Laced Wyandotte is the target for introgression. The first trait of concern is rose comb on chromosome 7. This has to be combined with straight comb on chromosome 1. Then add zinc white egg color, turn off porphyrin, retain columbian, pattern, and melanotic, silver, feather type, and about 10 more macro traits. Don't forget to get rid of that pesky partridge color pattern that causes speckled or stippled feathers.