Mech Paladin

Standard mech paladin from ladder with slight alterations for the Brawl.

Doomsayer is virtually mandatory in any deck that isn't hyper aggro this Brawl.
Mechano-Egg can be played prophylactically into your opponent's Doomsayer or into your own in a pinch.
Time Out! can buy BOTH of your opponent's turns. (Remember to play it on your extra turn, not your first one!)

Always mulligan for Crystology and Doomsayer (against aggressive classes).

Aside from that, bide your time, make big things, heal up to full, hope they don't have silence/transform effects.