Googling led me to this page where the author had the same problem, and they found a solution in Safari Bookmarks Extractor. I can't test that it still works with version changes in both, but it probably does. Once you have your extracted bookmarks, you just use Manage Bookmarks -> File -> Import -> From File.
I'm assuming you're using Windows at the moment. I neat trick I like to try sometimes is going into Safe Mode with Networking and seeing if the browsing works in there. While at work, download Mozilla onto your storage device as well.