I never use animation fly out so I can squeeze in a 1090 x 840 Preview/Render work area.

My eyesight demands a lowish screen res so I can relate to the problem with the animation palette. I use dynamic clothing a lot, and I'd love to see an option in Poser where we could maybe chose to have the animation palette displayed on top of the preview window (like the library palette) instead of beneath it.

My solution now is to use an extra UI dot specifically designed for whenever I'm going to require the animation controls to be (fully) accessible. I've also assigned the two side buttons in a 5-button mouse to toggle the library and animation palettes. It lets me overlap the preview window, without any inconvenience from their handles being occluded.