My first attempt at a hot water bath to thaw the TEA was a lesson in itself.
The TEA is in a plastic, two litre container. The rectangular shaped ones with a moulded in handle. Looks like a small engine oil container.
I had the water bath at 40C for about eight hours. It slowly thawed from the outside in. At midnight it had only melted about an inch depth all round with a large rectangular solid in the middle.
Midnight was time for bed. I left the container in the water bath overnight with the hotplate turned off. As the whole thing cooled the crystal in the centre had started growing again.
Next day I started about ten in the morning. After twelve hours the entire thing was back to the liquid state.
I have left the container in the darkroom at around 14-16C for two nights now and the TEA is staying in the liquid state.
I remember from my geology classes how saturated solutions need a nucleation point to start the process of crystal forming.
The large chunk of crystal left in the first attempt must have acted like a giant nucleation point to start the regrowth.
So it looks like when thawing the TEA a complete thaw is required to inhibit the regrowth of the large crystal block.
Thankyou all for the suggestions and thoughts.