Saving GIFS Poorly

I know something like this is in the memories, but it didn't solve my problem.

All of a sudden, when I go to save .gif animations in Animation Shop, I can't get them to be under 40K, yet *still* nice-looking files. They get all grainy and stuff.

Here's the settings and also a single frame from a .gif animation I made so you can see what it's doing.

It's doing this [when I want it to be crisp and clear]:


Under these settings:






I've tried combinations of different things checked/unchecked, sizing down the dimensions of the images, deleting frames, but no matter what I do...the animation is grainy.