Most congressmen are searched by TSA twice a week already
Congress only meets Tuesday through Thursday, to allow Congressmen to fly to their home districts for fundraising the rest of the week. So, except for those few whose districts are within driving distance, the rest of our 535 congressmen are presumably already getting searched by TSA twice a week, both at a Washington-area airport, and at their home airport.
Congressmen know. They know how bad it's gotten. But they don't care. Because the voters demand to be "kept safe," and in the political calculus, security theater still wins many more votes than it loses. And no Congressman, no President, no career bureaucrat wants to have been on record as "opposing security" when the next attack inevitably occurs.
Until the voting public itself rejects security theater, the security theater will continue. Because security theater works, not as a security measure, but as a political measure.