Having spent several days reading every kind of post on the subject of dips, scales and design problems I have an observation to make (for what it may be worth, not from some higher knowledge) which may be obvious to some but not so obvious to others.
Instead of coming up with a beautiful but arbitrary design and layout that pleases you and then trying to overcome the screen size-ratio-density problems as best you can, consider that you have what is commonly called 'perfect knowledge'; when you begin you already know that this problem exists, so design for it.
Make the design require the minimum of adaptation, make it symmetrical, preferably square, and do everything within that square, using the same space repeatedly where possible because not everything may need to be seen all of the time. Make the sizes and relative positions of objects solve the problem for you, not the other way around. Dips are not the answer to everything, sometimes no dips at all is the best solution. Two large squares side by side, each containing relevant parts of the whole, can easily be changed to one above the other when rotated.