FDR Dies:
The problem here is that FDR's New Deal didn't really go far enough to create jobs during the great depression, and also that FDR was simply doing what the American People wanted him to do: get people back to work, regardless or in spite of the conventional powers of the Presidency. Other people, among them Herbert Hoover (Who created a job finding organization and a business loans organization) had other ideas of trying to reform the government.
If FDR dies, (and your broad claim of like-minded people is unworkable, 10-20% of America vanishes if you claim all reformers disappear) we'd see a different kind of change. Consolidation of Union Power, abolition of Child Labor, the end of Prohibition, these things were in the cards by the passing of the New Deal in any situation. The USA could move further to the left and start launching outright government controlled businesses, creating a proto-socialist structured USA like Western Europe is today. The USA could also respond with some kind of government bailout of debts and try to re-energize the markets. Another option is a very international approach--the USA works with the UK and France to eliminate Tariffs between these nations to try to open foreign markets. If Germany is included in these negotiations, the second world war might be averted. I'd suspect that Government does Business is the alternative answer, which creates an inefficient structure and desperately needed Jobs.
Hitler's addressing of the Great Depression started with mundane Job Creation, but quickly moved into massive, unsustainable military development. The Germans desperately need jobs, but Der Furher historically threw most of his resources into army development. Without Hitler, it's an open question whether the Nazi's ever come into power in the first place. The Answer is probably not. The Wiemar Republic is a failing nation, and its very likely that once the Political right crumbles with no names like Papen and General Scheliechter leading it into obscurity, the KPD and Ernst Thalmann are coming to power after Hindenburg dies. Thalmann's answer to the Great Depression is breaking the Capitalist Machine for the benefit of the people at the bottom. In basic terms, he's going to use a state-socialist method to rebuild Germany--and he might not be above seizing the assets of the very wealthy to achieve these aims. Thalmann's Socialist rebuilding of Germany is going to cause massive capital flight from the country, but its also going to produce short term results. Whether Germany ten years in the future has many prospects for growth is a hard question to answer.
The problem with Socialism is that it doesn't work as well as Capitalism. So a Capitalist structure is generally more efficient than a Socialist one, and the price will be paid in GDP/Capita Increases.