I tie square Turks Heads in hand. When going tall (few bights, many leads), I use a dowel, and spiral wrap leads on the dowel until the knot is about the length I am looking for. Then wrap back down (all overs) at the same slope. As soon as I cross the first turn, I then wrap back up starting the over-unders. Four times through, and you will have a 4 Bight x ? Lead TH. This works for even numbered bight Turks Heads.
For short Turks Heads (many bights, few leads), I start with a 3 lead TH, and continue the braid. A 3L x 4B becomes a 3L x 7B, 3L x 10B, 3L x 13B etc. A 3L x 5B becomes a 3L x 8B, 3L x 11B, etc. When I get to the size I want, I expand both leads and bights in the normal manner of expanding Turks Heads.
Only when I want to make a complex TH's, like globes, crosses, or TH mats, do I use a grid, and only because it saves time.
Pat