Another idea, because of the concern of SHB this time of year, might be to use the two frames of brood and honey, waiting until the queens hatch before placing the empty drawn out frames in the boxes. This will allow the inprogress hatching new nurse bees leaving empty cells for the new queen to lay, while adding numerical power to the hive itself as they hatch. Once the queen hatche and you see new eggs, might be a better time to introduce the empty frame. You will have more bees to guard that empty from the SHB as the newly hatching bees are taking their place in the order of the new hive, affording more power and chance of survival. This is a harder time of year for splits, (at least in my zone because of dearth and SHB), though I encourage you to do so. Be careful, good luck to you.