Don't forget your population decreases daily until the new brood that hatches from the first eggs layed start to exceed the numbers from older bees dying off. I would not rush it as more than likely resources within the hive are not built up enough to recover from a split.Wait until the colony has plenty of "excess" bees.
I AGREE…While splitting is not generally recommended for a new package, sometimes you can have a real boomer when conditions are right (honey is not part of the goal), and splitting becomes a viable option.
Personally, while I'll make up 'spring' splits as early as May from winter survivors, I'd only split a new package 'up here' with a 'not before' July 4th deadline (for proper buildup). July 4th is the latest we conduct splits of any variety, your region may have different requirements.