Ulrich,
If you want to try and pressure feed the brake fluid from the bleed nipple upwards, (as Rick suggested) here's something I made today that should do the job.
Basically, it's a jar with a tight fitting lid, two tyre valves, some fibre washers and some tubing. I made it deliberately using bits that don't need any machining, so it could be made by anyone.
One tyre valve, complete with it's Schrader valve, is fitted to the lid.
The other valve has the Schrader valve removed, and the base sawn off, so we are left with a threaded tube that is fitted to the jar lid with half the thread inside and the other half protruding through the top. A length of tube is then fitted on the thread to go inside the jar.
In use, a tube is fed from the jar to the bleed nipple and the jar is pressurised with a tyre pump.
Two words of caution, don't put too much pressure in the jar, a couple of strokes from a bicycle pump should be adequate, you don't want a fountain from the reservoir!
And be careful that the reservoir doesn't overflow, spreading brake fluid everywhere.
This idea just came about from your post, so I've not tested it, but the jar does hold a few PSI pressure so I think it would work.
So, there it is if you want to try it.
Cheers,
Paul.