Problem with a winter baby is that 9 months from now would already be March although a good idea.

While your plan makes sense why would someone go to all the trouble of opening up their home and setting it up for daycare just to turn the kids back over to you nor would she accept only part of the money because she now has all of the costs including use of home. If you do help the parents find someone expect them to stay at the new daycare if you take more than a month off. In three months they will have moved on to a new stage and developed a bond with the new caregiver.

If it is going to be three months could you just put aside some money to cover that time and start advertising at the 6 month point to restart care.