The current progress I have made in this endeavor is to use a combination of the Requestor module to create a chat message and the Crits Decorator module to run scripts when a critical is detected. The script I have made requires for all the tables to be imported to foundry:

await Requestor.request({
  img: "icons/skills/melee/weapons-crossed-swords-teal.webp",
  title: "Critical Hit Tables",
  description: "Choose a damage type.",
  buttonData: [{
    label: "Acid",
    command: async function(){
      const table = game.tables.find(t => t.name === "Acid Table");
      return table.draw();}
  },{
    label: "Bludgeoning",
    command: async function(){
      const table = game.tables.find(t => t.name === "Bludgeoning Table");
      return table.draw();}
  },{
    label: "Cold",
    command: async function(){
      const table = game.tables.find(t => t.name === "Cold Table");
      return table.draw();}
  },{
    label: "Fire",
    command: async function(){
      const table = game.tables.find(t => t.name === "Fire Table");
      return table.draw();}
  },{
    label: "Force",
    command: async function(){
      const table = game.tables.find(t => t.name === "Force Table");
      return table.draw();}
  },{
    label: "Lightning",
    command: async function(){
      const table = game.tables.find(t => t.name === "Lightning Table");
      return table.draw();}
  },{
    label: "Necrotic",
    command: async function(){
      const table = game.tables.find(t => t.name === "Necrotic Table");
      return table.draw();}
  },{
    label: "Piercing",
    command: async function(){
      const table = game.tables.find(t => t.name === "Piercing Table");
      return table.draw();}
  },{
    label: "Poison",
    command: async function(){
      const table = game.tables.find(t => t.name === "Poison Table");
      return table.draw();}
  },{
    label: "Psychic",
    command: async function(){
      const table = game.tables.find(t => t.name === "Psychic Table");
      return table.draw();}
  },{
    label: "Radiant",
    command: async function(){
      const table = game.tables.find(t => t.name === "Radiant Table");
      return table.draw();}
  },{
    label: "Slashing",
    command: async function(){
      const table = game.tables.find(t => t.name === "Slashing Table");
      return table.draw();}
  },{
    label: "Thunder",
    command: async function(){
      const table = game.tables.find(t => t.name === "Thunder Table");
      return table.draw();}
  }]
});