Can you post a pic of your EE roo ? White EEs are generally carrying Dominant White and if he is has two copies of it then when bred to a barred rock hen, all of the chicks will come out white with black dots. If he only has one copy of Dominant White, then half with will be white and the othe half would be black Sexlinks ( Black hens and Barred roos)
But your best bet would be to us a pure Ameraucana roo on Barred Rock hens and that will give you all Black Sexlinked EEs. Or you could use a EE roo but you need one that isnt carrying Dom White so if he is showing black, then he isnt carrying dom white and would work as well but some of the offspring may lay brown eggs.
Or a Barred Rock roo on Ameraucana hens should give all barred EEs, I'm not really brushed up on egg color genetics though so maybe someone else can tell you how many different colors of eggs you would get with useing EEs instead of Ameraucanas.