What you describe as administrative costs are mostly the costs of compliance with federal regulations. Some of those regulations are well-chosen, while others are expensive vexations that serve little good purpose. Rooting out such expensive regulations is difficult and will require action by Congress.
I’m well aware the regulations, and live with them every day. The growth of administrators is in part secondary to the growth in regulations, but the growth in administrators also fuels the growth of more regulations (this is how they justify their existence). You have to break the cycle. You do that two ways. One is to alter federal law, and reduce regulations, which is what you are addressing. The other is to introduce into the system pressure to reduce administrative costs. At some point the only way to decrease the number of administrators is to put the at war with each other over who is going to survive while the money that can legally go to administrators is markedly cut back. It’s absolutely necessary.