Before the drawing, loving SIGN THE TICKET. Doesn't matter if its nearly impossible that you will win.
Before you cash, you have to set up a collecting trust, a bridge trust, and a final depositing trust and have the trust's (your) lawyer collect it under attorney-client privileges. That is the only way to circumvent that law... of course, unless that way is illegal.
You never immediately cash your lottery ticket. Get to the biggest city near you (pref. in your state) and find the best omni-firm you can find and demand to see a financial adviser. See what they can do for you. If your state does not allow the trust idea and demands the grantee of the trust's name, you're forgeted. Else, you're fine.
I don't know why states don't protect the anonymity of the ticket holder, because it has been shown that people are assassinated and harassed by family in an attempt to collect some money.