Hi Ghost , there won't be an ideal but you also don't have to accept what W wants which seems to me to be very unreasonable Again , your choice on how you proceed but wouldn't it be better for a week with you and then a week with her
This is a chance for you to act in your interest as well as your kids. You need weekends free as well because you will have a life and need your time
Think this thorough , I'm sure there a websites that deal with custody and got to be worth having a look