Okay, Exodia Underdog deck. Can help a biut here.
Firstly, You might want to look into running Reloads and Hand Destruction. They are Quick-Plays that you can play during the Draw Phase so you can get more draws off of Underdog.
Another card to consider is Common Charity. Its a Trap Card that will let you draw 2 and then Banish a Normal Monster from hand. Since you can also play this from the Draw Phase, its a great card to use.