"White" fig is a very generic and possibly exceedingly broad category. Many figs could be classified as "white" because their skin stays relatively green when ripe, but are not actually called or named "white".
Desert King, Danny's Delite, etc could be classified as "white", but I don't think they are thought of in that way.
As for hardiness, if you have frost or freeze, you need to consider protecting your trees in some manner. At that point you can grow a wide variety of figs, white or otherwise.