Claude,
Looking at your latest animation, several things become clear to me.
One thing I'm certain about is that mast hoops or parrel beads are not going to work here - the sail is going to need to swing forwards as it comes down.
Short batten parrels are not going to act as they normally do, when the mast is vertical or forward-raked. There, they prevent the sail from swinging forward under gravity, at the expense of extra friction. On your sail, the tendency of the sail to swing forward under gravity is very much less (though still there to a small extent, I think). You may wish to try them - but 'try' is the operative word. Such things as this cannot be determined for sure on the computer screen.
You are going to need to reduce the luff length of the top panel, to the same length as the next two panels down. Even if the yard has extra length at the forward end, and a parrel is rigged between its forward end and the halyard attachment point, I cannot see the present shape being satisfactory. I think it would give you trouble. Either the yard should be at a greater angle, and longer, or the top panel's area should be less. I like a short yard, and would keep it at the angle and length that you have drawn, reducing the area of the top panel considerably.
This sail is quite similar in concept to my current sail, and should operate in a similar way, despite the aft-raked mast. I use batten parrels that are semi-short, and do not attempt to use them to position the sail (first, I tried short batten parrels, and rejected them). I have an upper luff hauling parrel and a lower luff hauling parrel, and use these to haul the sail back as far as your animation shows, when I am sailing to windward; but I leave them slacker when I am reefed right down to two panels. I think you will need to do the same.
But having said all that, I still think that using a mast with such an aft rake is going to introduce, not only some 'known unknowns', but also some 'unknown unknowns', and you cannot expect to get a 'right-first-time' rig. Even if you do not want to make a scaled down model, I would still advocate making a trial sail of polytarp at minimal expense. It will last a year, and then you will have enough experience to know what kind of sail you really want, as opposed to the kind of sail you thought you wanted. I have made quite a number of rigs of various designs, and the one thing they all have in common is that they have taught me that what looks absolutely brilliant on the computer screen does not always survive the shock of being taken to sea.