the right way to select monospaced fonts in Swing

I'm messing around with DefaultStyledDocument and am trying to figure out the right way to set a style to the proper monospaced font. By "proper" I mean that the font selected is:

1. A monospaced font that exists on the user's machine
2. A font specified by the user's preferences (is there a standard way to do this in Java?)
3. If there is no specified font, it will fall back on the standard monospaced font ("Monospaced").

This works:

StyleConstants.setFontFamily(mainStyle, "Monospaced");

and this also works:

StyleConstants.setFontFamily(mainStyle, "Lucida Console");

but I can't seem to figure out how to tell if the font family in question both exists on the user's machine (there's no return value to setFontFamily) and is a monospaced font. If I use "Lucida Consoleq" it seems to use whatever the default font is.