Hi, Clark. Your significant other might want to think this out a little further. If your ground slopes on a straight pitch up and then a straight pitch down, this would be OK. But the chances of this are slim and none. Run a string from the apex to where you want to end the fence and measure the amount of bow or hump in the ground. Next draw a sketch of how it will look when the fence top follows the bow or hump. Chances are that this will look either like a camels back or a saggy, baggy elephant. It will look a lot better with steps between the sections of fence, you just have to make that visible.
The other alternative is a chain link fence with bushes to hide the neighbors foundation. This might be prettier since the fence will be on the neighbors side.
By the way, never, ever agree to buy paint!!! Henry in MI