American Airlines, Alaska Airlines, and United have round-trip flights from Dallas (DFW) to New Orleans, New York/Newark, or Seattle (MSY, EWR, SEA) for $117-$177, NONSTOP. Flights April to May. No Weekends. Departures on Monday, Tuesday, Wednesday, and Thursday. Origin/Destination reversible.
Seattle is the most expensive destination in this group: flights as low as $177-ish. Other destinations are less expensive.
A Carry-on bag and also a personal item is allowed for free on American or Alaska Airlines. You can avoid paying for seat selection by accepting the randomly assigned seat at the gate.