The 4 H first clue from Joannezunic below really threw me. I think 9 of Diamonds and 6 of Spades first is all you need here. It took me about twenty goes. 

Hey Donna, you and I have stayed on the low moves board for a whole day! Miracles do happen!

O M G
i did it~!!!!!!
thank you all fot your clues

Very strange, Tcutt. At one point, I had two 6! It was like it divided itself in two.

Thank you Joanne Zunic. Magic clues. Thanks to all cluegivers, but like Di, those worked for me. 

Only 2% of attempts successful so far. What a challenge! Not through it myself yet....

Worked for me for 125, which is not low enough...

Thanks so much for the clues! Joannezunic's worked for me. 

This is very interesting. Do Big Brother help us out?
40 years in computer science.
This may be the breakthrough event for AI.

Tcutt again:
The system moved cards on it own.
It re-ordered my moves for me!