Consider: if Stake does return any amount, you have just carved out a new niche for people to exploit. What a lovely precedent! Think about it, too, as it's a conflict of interest for the casino - of course they would want you to revoke the self-exclusion - easy 'free bets'.
It's an unfortunate situation but I simply do not see any reasonable way you will get your money back.
There have been quite some instances where books have returned the funds, thats why NO reputable book will overturn a permanent self exclusion