There should be some kind of button called "creat own game" where YOU are the host and nobody can repick you.
You can name the game and call it something like "all any game" or something like that. So people know what they choise.
And then there should be a row of these games on a list and you can choise what game you want join ( if you don't want to creat an own game)
This way people can choise what they like. If i want to be in a game with just any's, or a game with just Jesters and sk's, i should be able the be in that kind of game. If i don't i can join another game.