Which party offerred the best solutions in the 1896 presidential election?
This is, of course, a matter of opinion.
The main issue in this election was how to create an economy that would be both strong and fair. The Democrats felt that the US economic system was biased in favor of the rich. Their main goal was to allow more use of silver money so as to increase the supply of money in the economy. This would make it easier for farmers (in particular) to pay off their debts. The Republicans felt that this was dangerous. They felt that "free silver" would lead to inflation that would be bad for the entire economy.
There is no way to objectively say which one of these is the better solution to the problems the US faced. Economists tend to believe that the Republicans were right because inflation would not have helped anyone. But there are many who feel that a free silver policy would have been more helpful.