This is a bit confusing here as where these casinos will demand for KYC is we won big amount or if we withdraw big amount?
I think most of the non-KYC casino will not ask for KYC until you initiate a high withdrawal. So if you want to continue playing at those casinos without KYC, there are few options like
1- Do no initiate withdrawal, rather use the winning amount playing more games and enjoy the time
2- Take withdrawal slow and steadily
Even using these precautions, there is no grantee that they won't ask for the KYC. So mentally you should be ready, that at any time they may cease your account and demand for a KYC.
Usually, casinos will ask gamblers to do KYC if they want to withdraw large amounts of money. Especially if they never or rarely withdraw large amounts of money. You've written down what gamblers need to do if they want to do something other than KYC. But they must be ready for KYC if necessary because there is a possibility that every casino will ask its users to do KYC in the future.
And since gambling is entertainment, we also don't need to play with a lot of money. And if we win a big amount, we can use it to play for a while and withdraw the winning money.
LOL, speaking or typing from my personal experience now, it never ends well for those who win a very big amount of money, and then go on to still continue playing with the money they won, most will end up gambling and losing the entire amount, and might even proceed to make a deposit and still lose it too.
This is exactly what happened to one of my friend, a very good friend of mine, won over $300 dollars in our local currency on a local casino, unfortunately, it was on a weekend, that is on Friday night, and the casino does not pay winners on weekend, they winner will have to wait till Monday before he or she gets paid, so my friend was told to wait till money to get paid.
Long story short was that, he started gambling and betting from the money he won, and before Monday morning, he has already lost every thing back to the casino, it was an unfortunate experience for him as he regretted this seriously.
So based on this , i will never advice any gambler to tour that same path.