Well, the baby was napping, so I had about an hour to work on this again this afternoon. Because this game has very little fast animation or action, and is UI-heavy, I decided to do it all with LibGDX's scene2d/stage framework.
The nice thing is that with the skin framework, I can use the sample skin to get things up and running for a quick prototype, then later, if I actually have time, I can go back and refine the graphics!
Currently I've got a single screen, where the vast majority of my code lives. I load a few textures into an assetManager, and then display them in my scene.
The general theme of the game revolves around being an operator here on earth searching through radio signals to try to find life in space. Currently, it involves selecting an area of space, and analyzing radio waves there. With the easy-to-use scene UI, I have the first few bits in place at least.
Now the trick is finding more than an hour here and an hour there to work on this...