I think that if you're using a metal perimeter base, the extra weight is quite good, and helps the rigidity of the GH, so if you don't want concrete, and there's nothing wrong with that, a few metal stakes, like reinforcement bars, hammered in at - say - two ft intervals and at an angle should be enough to hold it all down if you can make sure that the tops are poked into the perimeter base and are secure.
You could even belt in the bars at each corner, and wire it to the GH, but that'd look a bit plain!
Let us know if we can help further, it's a common discussion, and everyone has their own solution! Good luck!