American Airlines has round-trip flights from San Antonio (SAT) to New York/Newark, Detroit, Minneapolis, Salt Lake City, San Francisco, Washington D.C., or New Orleans (EWR, DTW, MSP, SLC, SFO, DCA, MSY) for $158-$177 with a connection. Flights January to March. Extended weekends available.
A Carry-on bag and also a personal item is allowed for free on American. You can avoid paying for seat selection by accepting the randomly assigned seat at the gate.