The TSA screens operations running under 14 CFR 121; there's not much you can do about that other than fly under 14 CFR 135, which is for "Commuter and On-Demand Operations." (This is how companies like Surf Air get away with not having to have TSA screening.
Unfortunately, AFAIK, every airport in the country is required either to use TSA screening or to use private security companies whose policies are set by the TSA[1], so this is unlikely ever to happen.
[0] With the exception of ensuring that cockpit doors are always closed and locked during flight - this was the one absolutely critical security improvement that came out of 9/11.
[1] I believe SFO is one airport that uses a private company.