All land must be graded away from the house, as you seem to understand. It should be at 1/4" per foot. So let's take the area on the side where there is 6 to 8 feet until you reach the wall. Let's make it 8 feet.
Mathematically, this means that the land at the edge of the wall should be 2" lower than the land at the house. It can be more, but should not be less. Now there is the situation of where does that water at the wall go? If I were designing it, (and of course this is theoretical since I do not know the lay of your land), I would put in a perforated pipe at the wall and pitch towards the front of your house. The pipe gets wrapped in filter fabric and covered with decorative stone.
Creating a swale is possibly another option. I am just concerned about the narrow depth of 6 to 8 feet. It might be able to be accomplished if done well.
In this case, land would pitch downwards towards the swale at the same 1/4" per foot. Then you create the swale. The land at the stone wall pitches towards the swale. The swale gets lower and lower as it moves towards the street.
If you had 8 feet, perhaps the swale could be about 18" to 24" wide. The swale should pitch also at 1/4" per foot. So you need to know the elevations at the start and end of the swale to see if this will work.
Eye levels are available to help get elevations. They are not too expensive.