Hmmm. So I guess I'm asking, does anyone do any kind of meditation while moving or immediately afterward? What do you focus on? Suggestions for resources? Similar experiences? Any thoughts are welcome.

I'm no good at silent meditation either. I almost always have to have guided or moving.
In the winter when it was harder to get outside, I would walk/run on my mom's treadmill for an hour a day. I would set on some music that wouldn't distract me and after I got into a rhythm I would focus on a color starting with red and working my way through the rainbow, ending with white. I would run for as long as I could focus on white then do my cool down as I went back down through the rainbow.
I got the color meditation from the Meditation Podcast which is supposed to work well for sleep, but it worked equally well for getting my mind out of the equation as I exercised, kind of a chance to reboot. Helped me get to sleep faster too.
There are days when I'll ask everyone not to bother me for a while, turn on some music, and lose myself to dancing. That works well too.