Alexander Acosta told reporters that "demand-driven education" is ideal, where schools listen to businesses to meet future workforce needs.
The new school, located just east of downtown, is based on the model of SAISD's successful Young Women's Leadership Academy.
Community members and parents peppered Superintendent Pedro Martinez with questions Wednesday at the third and final public meeting Fox Tech High School.
Military school districts serve populations with lower levels of poverty, which some have said make it easier for the districts to achieve at high levels.
Ultimately, the district plans to open a different school at Rodriguez Elementary's same location in the 2020-21 school year.
With 22 offerings, SAISD is home to the highest number of in-district charter schools among the state's roughly 1,200 school districts.
Plans for the central office are still tentative, but the new facility likely will be located on the site of the football field at Fox Tech.
Charter schools are merely the latest attempt by private corporations to rebrand the school reform movement and exploit public funding for profit.
Some school districts are eliminating positions, altering salaries and benefits, and even dipping into their fund balances to make significant budget cuts.
Final accountability ratings won't be released until August, but SAISD officials are optimistic that Stewart can obtain a passing rating.