I've also been struggling with this same issue. I support a small development team and have been using Toad Freeware for the last 8 years. I set up Oracle SQL Developer for now but would like to continue using Toad.
Side note, went to Quest site to get a temporary commercial license. But it was a single seat that could only be used by the person who installed the software. Reached out with questions and was told by a Quest Regional Account Manager "Toad based freeware is no longer available. My apologizes."
I'm thrilled to hear that a solution is in the works! And I'd like to request a temporary trial key till this issue till the 13.4 license issue is resolved.