You may not need to re-build the whole project in Chrome.
Try using the Archive option to create a backup of your current Twine Projects, this should result in the creation of an archive HTML file which you can then import into Chrome using the Import From File option.
1. You may need to use one of the same two workarounds to get the contents of the archive HTML file to save.
2. This transfer technique works because I uses it myself to move the projects I create to answer questions between Chrome and Firefox, although I don't have Safari nor an Apple machine so I can't test it on that combination for you.