I think you could, even a huge one... Of course the problem is family and how you handle them, if one or two find out then the rest will probably soon enough. As long as you can keep your name out of the press release you've at the very least, limited the number of people who would find out by a huge amount. Of course living in the same area you also can't go nuts with spending either, especially if you're in a small town. I think family would at least be more managable (even if they're largly crooks) since you'd have a much smaller number of people to be on the look out for... Unless unless they go and blab to anyone who'll listen.. >_<
Only saving grace would be if you're close to absolutely no one in your family.
There's just a lot of factors that need to be taken into consideration. For me, the main thing would be to keep my name out of the press where it'll go online and be there forever so anyone could look me up. Try putting your name in a search engine sometime. Unless you have a really common last name (first name wouldn't hurt either) you'd be really easy to find.