FCP is holding a lot of info about those stills in RAM.
there comes a point where it runs out of RAM for that particular task.
you can try going into your user FCP System Prefs (Shift Q), Memory & Cache tab
and up your RT allocation for stills.
it still might not be enough.
i do a fai bit of work with subtitles. i get the same thing: subs play fine for a while with green render bar,
then they gum up with the orange render bar.
the trick is to turn the earlier ones OFF.
actually i have a separate tracks with visibility tuned off, and the real trick is to bump the earlier subs UP into that track.
that alone doesn’t fix the later subs,
they too have to be turned off, and back on again. this forces FCP to “re-think” them.
you might have a lot of dissolves, making bumping chunks up a track difficult.
in which case turning them off with control B is the go.
nick