I guess I could have actually just made it work based on self.voice instead of a number.

Replace the array listing from numbers to voice type:
american
japanese
german
russian

Then just pass self.voice to figure out who you are and should be good.

Edit:

	level.zm_name = [];
	level.zm_name["american"] = "Dempsey";
	level.zm_name["russian"] = "Nikolai";
	level.zm_name["japanese"] = "Takeo";
	level.zm_name["german"] = "Richtofen";

	self SetClientDvar("hud_player_zm_name", level.zm_name[self.voice]);

Give that a try.