Well, - we have now 2019 and I am happy to note here that my FoIP (faxing over IP) is working meanwhile stable and reliable.
It looks that my provider Sipcall.ch has resolved their T.38 issues. Furthermore I was able to find out the correct T.38 faxing parameters. And finally I have also discovered a strange āFree Fax For Asteriskā installation bug. Also this problem needed his time to be solvedā¦
So after five years, this story has come finally to an end!
More detailed information can be found at the following thread: