I will summarize the findings for standard-sized dishwashers here:
As can be seen in the installation dimension sketch (in my photo album), the maximum door height for a standard dishwasher like the Bosch SMV68M80EU is, for example, 725mm.
According to the sketch, the minimum distance from the door to the floor must be 90mm. Calculating from these 90mm to the 880mm cabinet height results in a difference of 790mm – so that would be the maximum length a door may have.
Now the protrusion at the bottom of the door comes into play, which would get wedged with the dishwasher. There is already the "Stefan method" for that (lower the dishwasher as far as possible and let the door protrude at the top, fill the empty space above to stabilize the dishwasher). The central question, however, would be whether the door would still protrude too far at the bottom (which essentially depends on how deep the recessed plinth of the dishwasher is).
According to the sketch, the dishwasher is at least 815mm high, the smallest door should be 665mm high (flap height), which brings me to a calculated dishwasher plinth height of 160mm. That means, with the max allowed door height of 725mm, this door would protrude 70mm below the flap edge (counter calculation fits: 815mm minus 725mm = 90mm = minimum allowed distance from floor to bottom edge of the door).
With a cabinet height of 880mm and a door height of 800mm, the lower door edge would be 80mm above the floor – 10mm too little, then.
But it is about compensating these 10mm – there must be another possibility than raising the entire kitchen!
Maybe someone with such or a similar BSH dishwasher at home can measure how large the distance between the plinth front and the bottom edge of the flap (door of the dishwasher, not the Ikea front) is when the door is open – that would show us how much leeway there still is!