bitcoin is not the right blockchain to actually use at this moment.
Wrong. Bitcoin is the most secure ledger, and the one that you should be using.
I wrote already to GDax support after 2h30 and 3 hours but still no answer...
Stop spamming the support with bullshit.
What else can I do? Just wait I guess ...? How many more hours can it last ?
Wait until the network starts operating normally.
GDAX send the currency for free, I guess they pay the network fees by themselves?
Yes.
What is the risk ?
The risk is losing all of your money.