Well, I did something almost exactly like that
I had drawn grids within grids, all on different layers with different colors.
One grid was 100 yards per square and the other grid was a mile per square, it was cool.
So, when I plotted, I had to go to 4" = 1 mile in order to plot to a D size sheet and still be able to scale with a scale rule
Hey, draw a rectangle, whatever size, then put this little macro I created into a custom button and try it
^C^Chatch;Ansi37;\45;
It utlizes Hatch pattern Ansi37 to draw a grid.
After you initiate the macro, you will be prompted for a scale factor, enteer the scale factor at the command line then pick the rectangle. You can use these scale factors below -----> Hope you like
Grid Size Scale Factor
1/8" 1
1/4" 2
1/2" 4
1" 8
3" 24
6" 48
1' 96
1 Yard (3') 288
1 Mile (5,280') 506880