Might the new Malt help:
Malt is a sub-project of Pluto, used in it, while it’s now an independent package. I believe it’s used to interrupt Pluto, then it restarts, the whole notebook, but you want only the plot/Makie to restart. For now you might need to use it together manually.
It’s of course best to prevent errors (in Makie or your code), and I don’t know about that, nor looked into, but I’m curious if it makes sense to use Malt with Makie, for you at least. I’m not sure it should be a default for Makie or other plotting, it likely is better to have Makie in the same process, rather than is a Malt sandbox, but you could try. Maybe it could become a non-default option?