Hitler is killed during a more successful Beer Hall putsch. Goering is not wounded. Without the ability to grandstand at his trial, the effort is seen less as a noble effort by Rightists and more the actions of a delusional crank.
The NSDAP is banned. Roehm leads his left-wing into the National Revolutionary Party. Figures like Goering and Luddendorff are put off by the Strasserites and join the DNVP. Goering rises to prominence, and along with the Nazi exiles help modernise the party into a more 'inclusive' fascist force.
Come the Great Depression (for it is written), the huge gains made by the Nazis in the Reichstag are split between the DNVP, NRP and KPD, the former getting the lion's share. Parliamentary chaos is even worse, as the NRP are more than happy to brawl and batter, and no one wants to touch them with a barge poll. The KPD follows suit, leaving large 'untouchable' wings on both sides of the political spectrum.
An event takes place, a prominent figure assassinated or *Reichstag Fire, with the KPD getting the blame. Roehm and co decide to launch a new putsch in Berlin. Its a nasty affair with synagogues, Communist and Social Democrat offices, liberal newspapers and much besides trashed and burned. Hundreds of civilian casualties. Hindenburg calls in the Army, who promptly crush the revolt, with help from the DNVP Stalheim paramilitaries. Both the KPD and NRP are banned, and their leaders hunted down. Hindenburg, with Goering now Chancellor, declares a state of emergency. A 'Salvation Council' or some such is established filled with officers, right-wing MPs and industrialists, which oversees the emergency. In the Reichstag this is combined with a new "Fatherland Front" coalition of the DNVP, DVP, Zentrum plus the Agrarian and Middle-Class parties (both would be much stronger circa 1929-32 without Hitler IMO), formed to save the nation.
However, with support from the Army, the new government slowly clamps down on trade unions, socialists and liberals. An electoral *Acerbo Law is brought in, declared to end the instability, which in effect hands the now empty Reichstag seats to the coalition, giving Goering an unapproachable majority. The DNVP then slowly absorbs, dissolves or neuters its allies (Zentrum for its resilient base may have to be simply destroyed, while the DVP could stay on as a harmless refuge for moderates of the regime).
Come Hindenburg's death I doubt a Fuhrer position will be formed. I see either Ludendorff being the Fatherland Front's all but appointed choice for President, or the DNVP uses the opportunity to bring back the Kaiser. Goering (or whoever) may be known unofficially as Fuhrer but in reality his real position will be simply as Chancellor.