By far, my favorite is the Lee Valley Cabinet Maker's Glue GF 2002.? Great open time and higher viscosity than TBIII.? It comes and goes on the US site.
https://www.leevalley.com/en-us/shop/tools/supplies/adhesives/glue/45104-lee-valley-cabinetmakers-glue-2002-gf#:~:text=Our%202002%20GF%20glue%20is,starving%20and%20virtually%20eliminates%20staining.
Garrett Wade also has it, but the cost is high.
I use Unibond 800 urea for veneer.? Also use the heat blankets.? It works great in my shop which tends to run about 65 degrees resulting in long open time and then the blankets kick the glue properly.? Unibond 800 needs 70 degrees+ to set.
I sometimes use TBII when the glue-up is simple and I want a little quicker set.? I did tha with 30 domino drawer boxes recently.? Titebond lists the clamp time as the same for ii or iii but II seems to set quicker or me so I can re-use my clamps sooner.
