Here's the existing federal judical circuits so you get an idea of where the elected judges would be running (the D.C. district and the federal district wouldn't get representation on SCOTUS, of course. I don't mind that, I'm glad the folks that elected Marion Barry don't have Senators, either)
We'd have to tweak this map quite a bit in some places (9 is way too big and is run by insane liberal judges already) and find a way to either expand the court to 11 members or eliminate two federal districts (I think 1 and 2 could merged to create a New England district) but you get a good idea. At least five districts: 4, 5, 8, 10 & 11 already look safe Republican and would elect solid conservatives if they started electing judges tomorrow. I wouldn't mind being in the same district with Wisconsin and Indiana, they might help counter the Chicago vote that decides every election for Illinois. Had this been implimented a few years ago, John Paul Stevens would have been up for re-election and he would have been "our" representative on the Supreme Court since he was a Chicago judge before Gerald Ford gave him a promotion. I would have given my right arm to vote against him on a ballot!