i think concerning the overlandmap strategy the French have a big advantage.
in my game they conquered poitiers, limoges and toulouse without having to face noteworthy resistance, and the english didnt recapture the cities before i helped them to do so, and if i hadnt captured their mashal several times theyd have captured reims and caen too. the french always assemble armies of about 2000 men while the english prefer to wander the map alone, looting villages and killing peasants instead of following the marshal, thus only fielding about 1000 men when it comes down to dust.
additionally, if they finally decide to follow the marshal, he likes to assemble the army in Bordeaux when Caen is under siege and vice versa.
the latter point is due to the local disparateness of the English territories and can hardly be corrected.
but as some companion tells you, the French shouldn't be that united, there should be more quarrel among the French lords, making less of them engage in campaigns, while the English lords should stand as one when it comes to bashing French heads (well, rather piercing them
)
by the way i think Genoa crossbowmen are way to strong. considering they have lower fire rate but the same range, are better in meleefights than longbowmen and harder to hit because of the board shields on their back when reloading, they are at least as good as longbowmen.
in fact the English longbowmen were superior to the mercenaries from Genoa, as the crossbows of that time where made of wood, leather and hides and tended to dissolve in wet weather and crossbows never really had the same range as longbows.
as the French knights are much better than the English ones, the French elite ranged troops should be considerably weaker than longbowmen (IMHO).