Dreamweaver will support whatever font you want. The trick (the "websafeness", if you will) has more to do with whether your viewer has the font on his/her computer.
More computer systems come with more standard fonts than ever nowadays, and as long as you use a sensible font set, more viewers will see your site the way you want it to be seen. That is, allowing the font-set to degrade until a font is found that exists on the viewer's computer.
Without going into slightly more complicated setups with web-fonts, lists of typical fonts resident on viewers' computers can be found in a Google search. For instance, here's a site that shows "websafe" fonts: http://www.webdesigndev.com/web-development/16-gorgeous-web-safe-fonts-to-use-with-css, and here is a w3c page showing how to set up your font set: http://www.w3schools.com/cssref/css_websafe_fonts.asp
I don't use MUSE so I'm not entirely sure if you're referring to web-fonts or web-safe fonts. There is a difference. As Beth already mentioned the web-safe font list is somewhat limited to fonts that are common to all Win & Mac systems: Arial, Helvetica, sans-serif, "Times New Roman", serif...
DW CS6 does support embedded Web Fonts.
Creative Cloud subscribers have access to Adobe TypeKit fonts free of charge.
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