I don't see 1948 without a Dixiecrat ticket. A scenario without a progressive ticket would be possible, but the Southern racists strongly opposed Truman's racial policies and he, although I admire this president, wasn't that kind of figure like FDR who hold the party factions together.
Even without an official convention, some southern states would have voted for write-in ticket.
Harry S. Truman (inc.)/Alben Barkley: 388 EV. (52.5%)Tom Dewey/Earl Warren: 115 EV. (45%)Unpledged electors (Strom Thurmond): 28 EV. (2%)