Mark,
I had some thoughts but Burra summed them up much better than I could. And she had pictures.
All I can add is a rather traumatic childhood
experience. I was about 7 years old and our house had a slight negative slope behind (meaning the ground sloped towards the house). One spring we had torrential rains so bad that the static water pressure behind the wall (in our case it was cement blocks) actually broke the wall! One section cracked and moved in about an inch. My father called neighbors, got all the lumber he could round up in the neighborhood and braced the cracked and moving wall (really we
should have evacuated but the house was new and my father was determined to save it). As soon as the cracked side was firmly braced, the opposite side cracked and moved in about an inch so that side got braced. Then the middle. Eventually the wall was semi-stabilized and the basement looked like a wooden spiderweb.
The long term solution was to excavate a trench out behind the wall, rebuild the wall and refill the trench behind with gravel with two additional sump pumps in addition to the one we already had.
When I built my house I built it in a place where I could have a gravel filled trench but instead of a sump pump I had a simple gravity drain, and a little tube empties passively into the valley below.
I know it would be a lot of work, but is there any chance you can dig a deep trench, lined with a slotted tube that drains downhill and fill the trench with gravel? Again, I know it is a lot of work, but this really moves the water away before it can get at the wall.
These are just my thoughts and take them for what you will. That old basement never leaked or cracked again after having the trench and gravel put in. It was so dry it was practically dusty, as is my present basement.
Eric