Hi Indie,
I tried to get Shooters Choice on Sunset to do a transfer awhile back and was told that they did not do that anymore. They don't seem to care that much about their customers anyway - including the steambox they call a range. Right around the corner on 12th street there is a pawn shop named "Big Johns." The owner is John Elias and he is one of the nicest guys around. I had him do two transfers for me (internet purchases from dealers) so far and have nothing but good things to say.
He is at 614 12th street. If I remember right, he charges $25. for the transfer and background check. Let me know how it works out.
Also, if you have found any other ranges besides Shooters Choice, let me know.