Good work on getting your CPL. I would agree that you need an FI rating to get some work and start to build your experience.
If I were you I would be looking at schools you would like to work for and try get some non-flying work to get a foot in the door. This should help carve a future in the industry and hopefully I would have thought bring some positioning flights etc.
I would say in the current market throwing the money at the 50hrs and then a FI course would just allow you to join the endless queue of newly qualified FIs outside every school. You need to think of a way to differentiate yourself from the crowd and I feel getting experience in a school will help both financially and also in getting your first job.
Good luck and whatever path you decide just try to keep current in the meantime.