Just flood it. It’s a quick chore.
Lay the hose down in the middle of the area and turn it on for about five minutes. Sit on the patio and drink half a beer admiring your handiwork. Then, go back and check on it and wherever it’s soggy is done. Move the hose to the areas that aren’t soggy and do it again, including the beer. After a couple of times, you’ll figure out how the area is sloping and figure out the best placement of the hose.
In the heat of summer, I do this every day, but now you’ll probably only need to do it every three or four days. And don’t be afraid to walk on it when it’s soggy. It helps create good contact for the roots to get into the ground.