Other Ice Types Inside Ice Caves

The three types of ice could add some variety to the caves 

The regular, See-through ice, could spawn in small clusters embedded in the wall, allowing to see ores behind ice with the caveat of creating annoying water flows. It also could generate, if possible, as sheets and walls blocking access to passages while allowing to see the other side.

The blue ice could spawn in rare veins similar to ore veins. The main purpose being adding a rare sight to the caves but with the possibility of obtaining blue ice in another biome if you get lucky enough.