I don't think there is any such software.
OP, give HTTrack a try if you haven't done it yet. I'm assuming your PBN site is not that huge, and size is the problem mentioned in the link you have been referred to.
Remember to check Options->Spider->No robots.txt rules in "Preferences and mirror options", second or third window.
Good luck![]()
Save your breath HTTrack is not able to scrape wayback, tried it and never got more then a view pages if any...
I've a made a tool to do this: hartator/wayback-machine-downloader on GitHub (for some reasons, I can't post it as an url)