I would get a wooden dowel of about Ø6 and see if you can screw it in. A suitably sized dowel will then take the form of the thread and when unscrewed can be checked with a scale or screw gauge to find what the TPI or pitch is. Knowing this will make it easier to figure out what the thread is. It does not have to be a tight fitting dowel, just slightly larger than the bore of the hole. Even a wooden pencil that is thinned down a bit will do or a square section of wood with a diagonal dimension that is about 6mm.
There are some screw forms in the standards that can be made into non-standard but still listed threads, I have recently made something with a 1/2″-16 UN thread (I had suggested a 1/2″ BSF thread but the designer wanted a UN form to match other UN form threads that were used at different diameters including a 2 1/8″-16 UN thread). Out of curiosity I tried a 1/2″-16 UN thread nut on a 1/2″ BSF rod and it fitted however trying the opposite, 1/2″ – 16 UN tap in a 1/2″ BSF hole it did not fit.
Martin C