Bring them down with artillery and manpower. Ramp up your sites with [[Landmass]], [[Frontier Settlers]], and [[Land Surveyor]].

24 of your 30 sites can create a token on entry. Combine this with [[Necromancer]] for a steady stream of recruits. Once you've established several sites across the middle of the board, leverage [[Border Militia]], [[Raise Militia]], and [[Guards!]] to gain large chunks of tokens.

Use those tokens, along with any leftover Frontier Settlers and Land Surveyors, to man the [[Siege Ballista]], [[Corpse Catapult]], and [[Payload Trebuchet]]. For the Trebuchet, throw [[I Am Colossus!]], [[Army of the Dead]], [[Midland Army]], & [[Craterize]] for massive early damage. Or play them if drawn later, this deck ramps rather quickly. The Catapult gives each dead minion a second use as extra damage.

An additional ranged package, for supplemental damage and control, includes [[Belmotte Longbowmen]], [[Yourke Crossbowmen]], [[Hunting Party]], and [[Vantage Hills]].

Protect your fragile army with [[Bailey]] & [[Shield Maidens]]. [[Great Wall]] & [[Perilous Bridge]] create roadblocks to give your army time to set up and fire.

Sometimes you won't draw any artillery, or you'll need to rush in and damage sites/minions. [[House Arn Bannerman]] and [[Drums of Doom]] turn your weak tokens into threats. Drums also turns anything fired with Ballistas, Trebuchets, and Catapults into a lethal shot (if nearby). [[Belfry]] allows full repositioning/attacking while keeping your defenses up.

Three copies of [[Bury]] is your non-combat removal package.

[[Common Sense]] lets you search up removal (Bury), token makers (Border Militia / Raise Militia), ramp (Landmass, Land Surveyor), or ranged support (Belmotte Longbowmen).

The deck splashes (A) for [[Raise Militia]], which only requires a single threshold. With 1/5 of your sites providing (A), you should end up with 1 or 2 during the course of the game. If not, throw any held copies of Raise Militia with Trebuchet.

Siege Warfare

@AllTheSheep