The link with the girl's school is unlikely to help much, I have experience with these types of school links.
How often do YOU speak with your boys about seeing the world from a woman's perspective because both my girls have experienced an absolute gap from elite private school (all boys) school's including the not alpha male type school.
Please could you tell me how often you and your husband talk to your boys about a women's perspective.
Rape, wolf whistling, rating, nudes, assault, pay gap, women not being listened to in work meetings because they are female, post natal career breaks and the negative effect on long term paths and pensions etc., the fact that even full time working women take on the majority of the family load, how women and girl's have to change their behaviour to accommodate male behaviour, the fact 1 in 4 girls will be raped by a man in their lifetime and that rape jokes are not funny etc etc etc...
These should be daily/weekly/monthly conversations that your boys engage in not workshops.
How do you know these conversations are taking place naturally and regularly not just the odd workshop!