If you have José María Gil-Robles and CEDA win the 1936 Parliamentary elections with a commanding lead you would see no military coup at all, instead you could see general unrest by anarchists and communists, with the military backing the Republic instead. You would end up with a right-wing Spanish Republic, bordering on fascist, and with some clashes against communists and anarchists rather than a full scale civil war.
Another option would involve full Soviet backing for the Republic, getting directly involved in the conflict, but that would also mean massive purges on the Spanish Communists to better fit the Stalinist line peddled from Moscow. It would also result in mass murder of anarchists, moderates, right-wingers, and other political dissidents after the war's end, resulting in a Stalinist Spanish Republic.
Either way, the moderates end up in a complicated situation, the political climate was already very polarized.
ttps://en.m.wikipedia.org/wiki/Spanish_general_election,_1936