Time off from work taken by new parents to go to the hospital/birthing center/Wal Mart/North of US Border in order to give birth to a baby. A babycation optionally includes extra time to get used to having a baby at home. This time is used to get used to getting no sleep, and adjusting to the nigh constant smell of putrid milk associated with baby spit-up.
When you take a vacation from work and don't tell your bro's or buddies and you don't actually leave town. You just bang women off internet dating sites the whole time.
Man.. I haven't seen B.j. all week.. I think he took a breycation.
Cree: "Is that you?"
Mary: "Yes."
Cree: "I gotta get outta here." "Jethro's driving me crazy."
"I need a vacation bad.
Mary: "Uh oh." "A babecation?"
Cree: "You got it." "Hurry, come now n' git me."