Delete the mayor and replace them with the second character

You can drop items on the ground in Animal Crossing New Leaf and another character can just come along and pick them up. They will pretty much stay there unless something/someone decides to build in that location (I juggle all four characters for what sounds like the same reason as you are, they display sets and collections :))

You can mail the items if you want but it adds in a delay.

Just of note: I have swapped characters pretty fast and it has made my characters trip from time to time... Only just the one time for each character so its not too horribly bad, but apparently they do not like you to swap characters so fast. Its not been a deal breaker for me, but just in case this bugs you.

Unfortunately, it's not possible to do delete the Mayor of a town. The only option is to re-create your town.

When Isabelle asks you "Shall we get you started?" on the main screen, the process of deleting a character is usually "I need help first..." -> "Demolish my home." If you do this on any other character except for the Mayor, that character and his/her house will be removed from the game.

However, if you attempt to do this as the Mayor, Isabelle will initially freak out, and then start to cry, explaining that the town cannot function without a Mayor. Instead, she offers the suggestion that if you really want to start over, you'll have to select "Re-create the town.", which will erase both the Mayor, the town, and all of its citizens.