If you bought a decent BB, there should be no damage. Go slow until you know what is down there.
Decent is not the 6' wide 350# specials. A decent box is going to be 100 pounds per foot of width. A good box is 125 pounds per foot and a commercial duty box is 150 or more pounds per foot. This is just my scale and not some industry standard.
Using a 880# 66" box, there have been no problems or damage in 6 years. They do a very nice job pulling out the rocks so you can haul them away. Obviously, some are too big to mess with, those need a BH.
First knock down the high spots and drag the dirt to the low spots. Set the scarifiers so they are 1-2 inches lower than the blade. Then set the tilt of the box so the nose is level to very slightly up. Then drag away. It may take some number of passes in all directions to cut the sod so you can work the dirt. Keep at it. (or disk it first)
After you have the rough grading done and you have found the rocky spots, tip the box agressively forward, Extend the scarifiers all the way down, lower it down so the scarifiers are down all the way into the dirt and the box's blade is just riding on or above the surface, when you get a "bite" pull up on the 3pt lever to bring it to the surface. Basketball size rocks can be moved in the box with it raised so the scarifiers are just at ground level or in a couple inches. Rocks much smaller will fall between the scarifier shanks and much larger may not drag well.
After you have most of the big rocks out, you can bring the scarifiers up so they are at the 1-2 inch level below the blade or take them out entirely. Keep the agressive nose down tilt and cut the high spots down more.
YMMV
jb