There is a model that we already know works in practice but it's not cheaper or faster and it would generate a lot of income for security/airport renovation companies at the cost of much higher ticket costs to pay for it - the Israeli model. https://www.schneier.com/blog/archives/2010/01/adopting_the_...
There is an easier model called "less stringent security". Flying is incredibly safe. There is little evidence that the TSA's onerous security processes safe enough lives to be worth their massive costs.