I think you are operating under a bit of misconception. The blue egg gene is just one gene. Either it is blue or it is not blue, which defaults to white. The blue is dominant so if just one of the gene pair is blue, the base color of the egg is blue, not white.
What causes the color variations are all the genes that contribute to brown. Last I heard there are 13 different gens that contribute to “brown”, and who knows how many have yet to be identified? Green and brown eggs are just brown applied on top of base blue or white. This might help.
Base blue + no brown = blue
Base blue + brown = green
Base white + no brown = white
Base white + brown = brown
What shades of green or brown you get depends on which of these “brown” genes are present and how they interact.
The gene that determines blue or white base color is located real close to the gene that determines if the comb is pea comb or not pea comb on the chromosome. It is so close that 97% of the time, the blue egg gene and pea comb stick together. So while the pea comb gene is a real good clue there is also a blue egg gene there (if the is a pea combed blue egg layer) it is not an absolute 100% sure thing.
One thing that might help you out is that the pea comb gene is not completely dominant. If the chicken has one pea comb gene and one not-pea comb gene at that gene pair, the pea comb gene will influence the appearance of the comb but it will not be a pure pea comb. It will look kind of wonky.
You have two approaches to getting really blue eggs. First, you can only keep breeding chickens that hatch from your bluest eggs. Which hens to keep is easy. Look at their eggs. A rooster doesn’t lay eggs so you are at a bit of a disadvantage on which ones to keep, but in general if he hatched from a blue egg, he will probably help you out. After his daughters start to lay, you will have a better idea of what he is contributing. By doing this you should eventually eliminate those random genes that are contributing brown. One disadvantage to this though is that if all your chickens have both genes in a gene pair that causes a bit of brown, you can never eliminate it. But that is rare. You can be successful with this approach.
The other way to get a bluer egg is to cross your chickens with a breed that lays a pure white egg. That way you introduce the non-brown genes to your gene pool. You will also introduce a lot of non-Ameraucana genes to the gene pool too and those can be a pain to get out. Another downside to this approach is that you introduce the non-blue gene. The first generation of this cross will have one blue and one not-blue. Since blue is dominant, you won’t know if blue egg laying hen has one copy of the blue egg gene or two copies at that gene pair in the next generation. Since roosters don’t lay eggs, you don’t know if they have any blue egg genes.
This is where that connection of the pea comb and blue egg gene comes in handy. With all else equal, if you elect the hens and roosters with pure pea combs instead of that wonky pea comb, you tremendously improve your odds of eliminating that non-blue gene.
Hope you can get something useful out of all this garbled rambling. Good luck!