Unless the deductible for your homeowner's insurance is less than the cost of a new Mac Mini (and you are willing to bet that they won't raise your rates if you file a claim), then it isn't worth insuring via State Farm. I haven't used Square Trade, but everyone here says they are great.
I do everything in my power to avoid filing a homeowner's claim, but maybe that's just because those of us in Hurricane Prone Florida have insurance issues!
Nabby