If you're going with a "color blind" palette, just make sure you don't accidentally make it worse. I've seen many people mistakenly avoid e.g. red/green completely and end up with hues that are even less distinguishable.
A good low-tech approximation is to just check your palette in gray scale and make sure e.g. red/green or yellow/blue don't appear too similar. It's likely not necessary that a user knows which color each color is supposed to be but they will likely need to be able to distinguish them at a glance. Also make sure when filling in a shape with color (such as letters) that the shapes are big enough (i.e. bold enough) -- colors are easier to distinguish when they cover a larger surface (more photons, better vision).