IIRC the only way to keep who owns a home truly anonymous (short of a court getting involved) is to create a shell company (not an LLC) and have your attorney sign off on the deed as a representative of the company. Problem is you have to pay a lot more tax if/when you sell (I believe it's considered income, instead of capital gains). LLC's, and I believe, trusts, are fairly easy to sort out the ownership of -- they obscure your name from people finding out where you live, but if somebody is curious who lives at your address, they just have to pull up docs on the legal entity. This probably wouldn't even cause an inconvenience for somebody with access to LexisNexis or whatever.

(Don't quote me on this, if somebody knows better please fill me in)