Block Entity NBT Array?

I'm trying to make a block that you can only use if you're the owner or if you're whitelisted, via UUID. I got the ownership check working but I can't make a Block Entity NBT array tag (i.e. {Tag:["String 1","String 2","String 3","etc..."]}), where the whitelisted UUIDs would be stored. I can't do it in block mode, but I'm too unfamiliar with and scared of coding it in bare Java. I've tried the ArrayLists plugin, but I can't use it as an NBT tag.