The unemployment rate in San Antonio in July was at a seasonally adjusted rate of 3.2%. Since May 2017, it has been in the range of 3.1-3.5% each month. This is about as low as the unemployment rate has ever been in San Antonio since January 1990, as far back as the data goes. The lowest it ever got was in March and May 1999 when it reached 2.9% in each of those months.
As shown in the graph, for about the past year, the unemployment rate has been near the level it was during the dot come bubble leading into the recession in 2000 and about one-half to almost a full percentage point lower than the unemployment rate during the housing bubble preceding the Great Recession.
It seems to me that the San Antonio economy has been at its full-employment level of unemployment, so it is most likely the unemployment rate will only be going up over the next year or so. It may continue to hover in the aforementioned range for several months, but it appears to have hit its floor.