Looks like it's all pretty flat, which really makes things easy. I maintain my driveway (1/8 mile gravel) and my parents' driveway (3/4 mile gravel) using a pretty simple pair of homemade drags behind a Honda Big Red 700 UTV. Our driveways are both quite hilly/steep, so pulling gravel back to the center of the road in the Spring after plowing has moved it to the sides over the Winter is critical to prevent washouts. For this, I use a piece of I-beam with a length of chain welded to it near either end to provide a means of hooking it to the UTV. I use a carabiner to select my drag angle by linking the chain together at the hitch. I've also welded a few piece of rebar onto the I-beam vertically which act as receiver posts for lead weights. A few passes is all it takes to pull the gravel back where it belongs and smooth out any dips. The other drag is simply a section of chainlink fence that has one end rolled over a pipe with a small chain through it. That one is nice for a quick smoothing without really disturbing much of anything that is packed down.
I'll try to remember to snap photos of these in action the next time I use them. Both are extremely simple, versatile, cheap to make, and take up very little space compared to a box grader.
The box grader will likely do fairly well, but you'll need to be careful not to get too aggressive with it and tear up your packed base.