Extending the class of known Stone–Čech remainders for ψ-spaces

We are looking at the Stone–Čech remainders of ψ  -spaces with maximal almost disjoint families taken from [κ]ω[κ]ω, for κ≥ωκ≥ω. Such spaces include all standard ψ  -space where κ=ωκ=ω. Well-known Stone–Čech remainders of ψ-spaces of this type are compact ordinals λ   for λ