If it is now this hard to pay players in Israel, the casinos shouldn't be taking on players from there. It seems worse than the situation in America. If America got as tough as the Israelis, casinos would be forced out overnight.
I am puzzled about only a RELATIVE being able to send money to an Israeli citizen, this seems so tough that much of the legitimate commerce would fail to function. Are Israelis banned from using sites such as eBay to sell items?
Do banks ask for sender details for EVERY incoming wire, or are there trigger limits, such as so much in one go, or so much over a certain period of time.
Solutions to problems such as this are EASILY found by the rich & famous, and often involve them going abroad, and having accounts and businesses based abroad. Often, this is done for tax purposes, as if the money is offshore, it is harder to tax (not impossible though).
If LAND based gambling is OK, the idea of going abroad & collecting the money would seem an idea. It will cost a fair bit though, and there may be tax to pay bringing it back into the country.
Going abroad to open an account would ONLY work if you could find a bank willing to do this, and they would require proof of ID, AND a plausible reason as to why you need an account in a country that is not yours. One plausible reason would be owning property in that country. Many UK people have bought cheap property abroad, and the latest "hot spot" is Eastern Europe, this then requires them to have a bank account in these countries in order to pay property taxes, and make the necessary transactions involved in buying the property. 40K is probably a rather small amount for this, now that the Brits have driven the prices up.
The end game is that having opened the account, casino winnings can be paid into it, and deposits can be funded from it. There may well be a taxation issue back home in having money invested abroad, taxes on any profits made from selling the property, and taxes on interest paid by foreign banks.
40K is a huge amount to account for in one go, but if it were sent as "goods", rather than money, it might make things easier.
For example, if you needed a new car, the casino could buy it for you, and have it delivered as a gift, or even a prize for a competition, NOT a gambling related one.
The idea of giving the money to someone you don't know, trusting them to give it to you, is a BAD one. The money could be kept, and there would be no way you could complain without giving details of where it came from.
Now to something a bit more creative. The casino buys 40K worth of shares on the Israeli stock exchange, and then gives them to you as payment in kind for a service. This makes it easy for you to realise the asset, but means the tax people have to assess the shares as income, and tax them.
The casino could also buy shares in a foreign stock exchange, either themselves, or in your name. If they buy them in their own name, they would then reregister them in your name, and give you details of the shares. This could be done electronically. Once in your name, they become your property, and can be sold. The issue would again be taxation, but one of a tax on a capital gain. IF there is an annual allowance, such as here in the UK, then you would sell only part of the holding such that there was no need to have the proceeds assessed for tax.
Remember, the rich & famous do all of this, and more. They have clever (and expensive) accountants to find the most efficient way of paying the least tax. They are always one step ahead of the tax authorities.
Then - QUIT, you clearly cannot be paid, so don't play. Go abroad and play B & M if you feel the urge, or buy property abroad to give you a permanent base in a country where gambling is legal.