Okay, here a bit different approach to the regular Rakano Gauntlet decks.
The Idea behind this one is pretty simple. Remove their creatures with burn, ideally with a buffed Downpour or a Hailstorm on an empty board. If you don't have the campaign, you can simply replace the hailstorms with either Storm Spiral or Lightning Storms.
Aerial Battle and Peak are optional as well, though I do think that Peak works out extremly well in this deck - Aerial Battle is more of a tech card against heavy flyier decks. Sealed Writs are not necessary either and can be easily replaced.
Stonescar Maul is the finisher. Either by directly stomping their face with it, or by giving your boosted spells overwhelm, dealing additional damage when used as a removal. Permafrost are generally to be held back for the unlikely event, that the AI buffs one unit to oblivion (like, say, playing a Horngrinder). If you can deal with a creature in the next 1 or 2 turns, try to not use the Perma on it.
Otherwise, this deck is pretty straightforward. Most of the times, you fetch the peak with your first smuggler, depending on the situation it may be a Storm or similar, though. If you completely ran out of gas and the board is both empty as well as you have no Maul - it may be useful to fetch the Staff of Stories. The market is, in generally, quite flexible and can be adapted to fit your playstyle.