Are you sure that you are describing this correctly? I have seen shops where you supply a supplied fake SSN number and the expectation is that the application for credit will be rejected. Your name and SSN do not match, so that would be expected. Your description makes it seem like you are actually going to buy and finance the high ticket item. I can't see how they would approve the application. Are you really going to purchase the item? (And if so, do you return it? Keep it? Get reimbursed for it?)
DareWright, I take a little spiral notebook and on the inside front cover write "IF FOUND, PLEASE RETURN TO" and then write neatly the name, address and phone number I will need to use. When asked for my information I just show the inside cover of the notebook for them to copy and then all I need to remember is the fake SS#, which I have on a scrap of paper I can palm from my pocket while they are writing down the name etc. and then discretely read off to them if I forget it.
Some even put the tape on the inside of a temple on eyeglasses. Take the glasses of and "rub your eyes" while peeking at your note.
Another way to peek at alias info is to write the number on one of your fingers where it is hidden between your fingers. Fiddle with a fingernail and peek.
@Eric in Tampa wrote:
the only problem that I had is if you have a savvy salesman that looks within the database history and sees the cancellations.