Thermalright states that the Shaman is designed to fit reference boards including the GTX570. However, as the EVGA GTX570 HD is non reference, the chance of compatibility is not high. The main obstacle is that the GTX570 HD has a DVI output on the 2nd PCI slot (red circle
in pic 1) which will come into physical conflict with the heatpipes of the Shaman, according to my estimate.
While waiting for an official reply from either EVGA or Thermalright, let me use scale drawings and dimensions taken their spec:-
Pic 1 shows the GTX570 HD
-Its length is 229mm which is shorter than the reference card's 267mm
-the distance between the left row of screw holes to the pci slot plate is 65mm
-the disance between the left row of screw holes to the edge of the DVI output is 43mm
Pic 2 shows the Shaman
-the distance between the left row of screw holes to the edge of the heatpipes is 61mm
As 61mm is > 43mm, the heatpipes will clash with the DVI output and will not
While there is always a chance that my calculation is off, better wait for an official reply. But just keep the expectation low in the meantime.