A recent Social Security update highlighted another on-line screening tool that you can use to find out the best way to apply for a new or replacement Social Security card.
By visiting this page Social Security Number and Card | SSA you can now reportedly establish the best method for you to make that request. The ideal would be to get approval to complete the whole application on-line but you might find out that you can at least get the process started before having to go into your local office to provide documents and complete the application.
Once you’re all done you can sit tight and wait for the new card to appear in the mail; the agency doesn’t issue cards in person at any field offices.