Lawn level relative to path

Assuming a height of cut of about 50mm / 2 inches, how the seed bed be levelled relative to the hardscaping, be that hard edging for the borders of the path that runs down the side of the garden?

A: Level with the path so that the grass "sticks out" above the path

• + can run the reel straight over the path to cut the grass smoothly along the edge
• + the grass kind of pops in the garden this way
• - over time might settle to below the path line requiring topping up 10mm at a time
• - mower will not actually be touching the soil and will be a few mm over the soil on the turf

B: Below the level of the path

• + as thatch layer turf builds up will come up to meet the path level
• - looks kind of dull
• - could be dangerous to the reel
• - will need to strim round the edges otherwise I will end up with a raised edge

C: Above the level of the path

• + as the grass settles will end up dropping down
• - looks ugly
• - very hard to fix after the fact, however can be acheived with a verticutter and blowing the soil out

Here is the plan of the back garden: