SSSS really doesn't require extra time at TSA. At the point of showing a boarding pass to the 'check-in' TSA person you and your carry-ons will go to the front of the line and you will get special screening. At many airports, this will mean you get through TSA faster than others.

Where this takes extra time is 1) you cannot use elite lines 2) you must go to a ticket agent up front to get a boarding pass ( but if you are checking bags anyway this is no extra time ). I wouldn't worry about it to much.