At first, I thought this would be about the payment stuff, turns out it was coins sent to wrong address?
Stake without a doubt is not a scam casino, I have played there for years and based on my experience, they are the top one in their field if not the best.
As for your case, it's your fault, you should consider yourself lucky if they are willing to help you recover the funds, although it's technically sent to them, but most casinos or exchanges have statement like "do not send to wrong address or your funds will be lost" or stuff like that.
Anyways, I hope this is solved soon, I'm sure they are trying to help you, just give them more time I guess. Consider it an investment, you are at more than 300% gain right now compared to 8 months ago based on litecoin price ($25 to more than $100).