Great advice from Rick above, but I will add that I've done a lot of work with similar content, and rendering is much faster if you split your large image into segments. It doesn't matter if they're PSD or PNG. I'd set yourself a limit, say 4000x3000, and segment your images accordingly.
Why does it help? After Effects buffers all the layer components for a frame its rendering, applies effects, then composites. If you use one giant layer, After Effects has to buffer that layer in every frame, then apply effects (such as blur) to the entire layer, then composite it. If you've segmented your image and only on or two of the segments are visible in a particular frame, After Effects ignores the layers that can't be seen and only renders the smaller segments it needs to. Huge RAM saving, less CPU load, and overall faster renders. (This presumes that you are working with native layers, or collapsed transformations of precomped layers. If you precomp the segments back into full-size images, and don't collapse transformations, you negate the benefit of segmenting the images, as AE will still buffer the entire precomp.)