Is the Wordpress editor so unusably bad that it’s unbearable (like >$300/year of annoyance) to use it just for swapping in the images? (That is: do what you do now, except that after pasting it in from the Google doc, you go through and do whatever you need to do to change each image from a hotlink to googleusercontent.com into a thing hosted by Wordpress—which in an ideal world might just mean copying each image and pasting it on top of itself, though no doubt Wordpress have found a way to make it much more painful than that.)
Is the Wordpress editor so unusably bad that it’s unbearable (like >$300/year of annoyance) to use it just for swapping in the images? (That is: do what you do now, except that after pasting it in from the Google doc, you go through and do whatever you need to do to change each image from a hotlink to googleusercontent.com into a thing hosted by Wordpress—which in an ideal world might just mean copying each image and pasting it on top of itself, though no doubt Wordpress have found a way to make it much more painful than that.)
If it’s literally that, then it’s on the borderline. If it’s harder, then yeah, it’s that bad.