Welcome to the boards. You should have done a search on "solar thermal stirling". You would have come up with some good results.
Stirling Energy Systems (
www.stirlingenergy.com) has been researching concentrated solar power with a stirling engine for almost 2 decades now, and get about 30% efficiency. They don't even use geothermal cooling. They just got two big contracts with utilities in Southern California, and will be installing many Megawatts in the coming years.
I, too, think that using a geo-thermal cooling ground loop would be a good idea. If they were to use a secondary mirror at the focal point of the main dish to reflect light back down into the "hole" at the center of the main dish, they could place the stirling engine underneath the main dish, where the cold side of the stirling engine can be at least shaded, or connected with the ground loop for liquid cooling as suggested.
But even as is, their 25kW dish is supposed to come down to $25,000 install price with mass production, making it only $1/watt, which is a great price.