Finding the scale of the Agincourt game map was a little tricky. The scale defines how many yards are in a hex. One source said that longbowmen had a maximum range of 350 yards. That range has to be defined in terms of hexes. We also know that the attacking French battles (lines) were compressed by the narrowing field, making them less effective in melee combat. Compression would be represented by more than one French unit in a hex. So if a French battle starts off X hexes wide, by the time it reaches the English line it should have collapsed into inself to maybe X/2 hexes wide.
The map is 33 hexes horizontally by 22 hexes vertically. Each army is arrayed vertically or up and down on the map. If we let the French battle line be 12 hexes wide, then the English line should be about 7 hexes wide.
We also know that the English had about 1000 men-at-arms, four deep and shoulder-to-shoulder, across their front with archers on the sides. That would put 250 men across the front with three behind each one. If each man requires one yard of space then this is a 250 yard front.
If we use five hexes of the seven-hex front for the English men-at-arms, then each hex must equal fifty yards.
Since longbow maximum range is 350 yards, we now know that most of the English longbow units must be no farther than seven hexes from the French lines at the start of the battle since it was a galling rain of arrows that spurred the French cavalry to attack.
With 1000 English men-at-arms men spread over five hexes we know that each hex holds 200 men. We want Strength Points between 1 and 10. If we let one SP equal fifty men-at-arms then the five English men-at-arm units each will have four Strength Points. Five is a good number for the total number of English infantry because the English archers numbered 5000 and we don't want too many units on the map.