Please provide suggestions on making this deck more competitive without breaking the bank!

Playing this deck

Pretty straight forward deck: Discard and Madness, to the face, all the time. No cute combos, no frills. Olivia, Mobilized for War, Stensia Masquerade provide reach.

The idea with the deck is to overwhelm the opponent early on with cheap creatures and spells to the face. All spells in this deck either discard cards or benefit from being discarded, creating a consistent interaction between them. Spells like Incorrigible Youths, Fiery Temper or Alms of the Vein have a significantly lower casting cost if they are cast by Madness.

For a $25 deck: -Olivia, Mobilized for War +Olivia's Bloodsworn.

Adjusted Mana curve

Since most spells will be cast for their Madness cost, the actual Mana curve starts to look a lot more like an Aggro deck:

Sideboard