Roger, Lookin' good, man! Cap stones are not just an extra expense but without them you can plant strawberries in the hollows of the top course and let the plants creep into the flat areas as well as drape down the face of the wall. If you are allergic to strawberries there are lots of plants that would look good in those hollow blocks.
There are edging blocks that are made with an "L" shaped cross section. They are intended to be placed as borders around flower beds, trees, etc. The horizontal part is aimed toward the "outside" and set low enough to let you mow over the horizontal part. If you used those to edge your drive you would have a small dike (the vertical part of the edging blocks) to prevent water from crossing the drive from the high side next to the neighbor's property across to the low side.
You could trench along side the drive (FEL will do it) and fill the trench with septic gravel or similar (you can top with river rock or ornamental stone if you don't like looks of gravel) This gives the water coming to the uphill edge of the drive a place to fall in and be conducted to the end of the drive. A filled ditch/dry well is not a hazard to navigation for anyones feet or an errant vehicle's wheel. Once in a while you will need to clear the debris from the top of the gravel.
If you want to get fancy you can bury a perforated drain pipe in the last few feet of trench at lower end. This connects to unperforated pipe which goes under the sidewalk and exits through a hole in the curb. You might need a permit. You will need to saw out a small section of the curb and replace it with a section with a hole in it. If you can't shoot a hole under the sidewalk you can saw a 4 1/2 inch wide slice out of it, bury your pipe and patch the hole with concrete. You would want to dowel into the existing sidewalk with rebar and continue the rebar through your little new section so it will never have relative movement.
Pat