Guys - here's a useful guide to the hinges in the
Hettich Sensys range. Not cheap but fantastic quality.
It doesn't make easy reading but they cater for overlay, half overlay and inset doors. There is a section that applies to half-overlay doors on page 19. Your situation is also made more complex by the faceframe. I think I'd be tempted to wait until the new year, have a good read of the material and then phone one of the Hettich (or Blum) suppliers technical departments. If you can get some sense out of them, order just 2 hinges and mounting plates to see whether they will do the job before you make a full order. If they don't fit, you can always return them within 7 days.
Whichever manufacturer you go for it is likely that you'll need a block to sit under the mounting plate to bring it out to near the edge of the face-frame, to which you attach the mounting plate.
The link that JonnyD provided above shows a typical base plate from m&d online, who seem to be competitively priced. They also show a none premium rate helpline to call for FREE advice. It would seem like a good place to start.
Or if you fancy something from the Hettich range, try
these people. As you've already drawn up the application you need the hinges to fit you could email that to them after making a telephone enquiry.
Again there is a free helpline. Also do ask Magnet which hinges they used. A trip to one of their showrooms is likely to be more productive than a telephone call in the first instance, but make sure that it's in normal working hours as they may have to call their head office.
Somewhere in here you'll find an answer. Good luck.