How's this?
The guy who tried to shoot Jackson goes insane a little early and kills him in early 1832; Calhoun becomes President. Horrified, lots of voters in the North swing to Clay, enough to get him nominated, but Calhoun has sown the seeds of Nullification in his time as President. Clay is able to work through things with compromises for a while, but anger from some Southerners becasue he hasn't removed Indian tribes, plus a recession (though not as bad as OTL's just a normal market forces one) plus a South intent on expanding salvery elects a Democrat in 1840, Lewis Cass, who pledges to kick out the Indians and also expand popular sovereignty as espoused by former President Calhoun, now back in the Senate.
Cass annexes Texas in 1841, then gets the US into a war with Mexico over it in 1843, winning re-election, but pushes through so much pro-slavery stuff that the Whigs nominate Daniel Webster in 1848; he wins with Winfield Scott as his VP to balance the ticket, as General Taylor had been appointed Secretary of War in the Cass Administration after coming home from the war.
Scott becomes President on Webster's death, and the U.S. moves slowly toward Civil War similar to OTL.