I appreciate what you're saying, but this was all under the advisory of what I stated earlier:
I don't own one of these boards, but most of the games I own not only have socketed program roms but sound and graphics roms as well, in which case my theory might have worked had the TMNT hardware had a similar setup - I say this because I've done it before. I understand that removing the program roms would most likely render the board useless. However with no prior knowledge of the hardware this game runs on, I simply made a suggestion that could have helped.
I would never argue that having an additional tool lying around would be a bad idea. If you can get one, I suggest you do just that. However in my experience, having been through numerous game boards both helping others and working on those of my own, there hasn't been a video ram error nor watchdog issue I couldn't repair despite not having a logic probe. To be perfectly honest, I just haven't had the time to buy one. In any event, if this board has a dipswitch that can test the other roms as you're suggesting, and the OP hasn't already done so, then yes they should absolutely do that first. Bluehedgehog, if you take some nice pictures of the front and the back of the board, it can only help as someone might notice something you may have missed.