In this case, you could probably get with a lawyer or law firm and someone from there could claim it under their name with power of attorney only giving them the power to actually claim the winnings. Separate agreement to dole out money to the lawyer claiming the winnings, or just some random person off the street.

If I had to give up my name, I'd probably just leave the US. Plenty of countries where you can get citizenship for just being rich and being able take care of yourself financially and retire to.

You can claim lottery tickets anonymously through a lawyer, LLC, trust, etc; really depends on where you live but there's plenty of ways to claim it without ever revealing your name. Could probably even dress up as a mascot or something.

If you ever win something big, get a lawyer. Should be the first thing you do.