Debugging on Graphics Timeout (0x887A0006 DXGI_ERROR_DEVICE_HUNG)

I am working on a Direct3D pixel shader, which currently seems to have some infinite loop problem. This causes the graphics device to timeout on the first frame, so that I have no chance of capturing a frame in the Visual Studio Graphics Diagnostics - which can only debug a frame after it has been executed. I also tried the GPU PerfStudio, which crashes fatally.

Is there any tool that would let me debug a shader step-by-step?