Send him to daycare 1x per week.
You each only give 80% effort to work, work 10 hour days 3x a week, and a bit of email checking on the 2 days you work from home. Plan the 3 days at work around your normal meeting schedule, and have no meetings needed (or easy to call in and remain muted) on your days at home when you won't be paying much attention.
They cut your pay. They can do that. This is what I would do to get buy. You have a toddler for goodness sake.