Well, what are the big events of the next decade or so?
The financial panics in 1890 and 1893 are what I can think of. The rise of the Progressive movement along with the Populists. Hawaii and War with Spain.
The funny thing with Blaine is that APART from the period 1884-1888 he was pretty instrumental in US foreign policy. Maybe some things would have happened earlier had he been president? Maybe the corruption scandals would have burst around him and he would have been indited by the House?