I have to agree with the answers that advise you not to put your Social Security number online. It is easy to access other personal information that could hurt you. Examples: credit cards, bank accounts, buying online etc. good luck getting a better way to accomplish your goal.
I feel no matter how many fire walls and secure of a site. I give NO personal information such as Date of Birth, Social Security Number and Bank Information. Do a copy and Paste of application. Fill it out, then Fax it back to the Company or if possible give to them in person.