RAGE

This is a very easy achievement if you have the right cards (refer to this to obtain them ).

The key to winning is in preparation, first by getting the right cards and second by building an appropriate deck. Now you have about 250 points to work with meaning you're going to have to put up a lot of cards, but just because you have this leeway doesn't mean you should just put your toughest cards in your hand for there are many factors to consider.

DECK BUILDING
1st you want to look at is cards that boost certain other cards (ex: jk stiles +2 damage to all mutant cards) you're going to want to have at least one of these coupled with the strongest cards it buffs, for this challenge you can't afford to have weaklings (ex: don't put in a dagger thrower for this).

2nd look at whether or not a card is ranged, you are going to want to have as many ranged cards as possible because they can attack any card on the field and therefore you can triple team certain cards. The only downside to this is that you can counter act this by playing a vehicle (all ranged have to attack vehicles), but Teague will almost certainly play only play one vehicle (12hp dropship) but if you build your deck right it won't last more than a round or two.

3rd since you have so much leeway put multiple groups of cards in your deck so you're more likely to have a buffer and one of it's correspondents on the field (ex I had mutants, authority, and settlers).

THE BATTLE
Luck does play a pretty decent role in the game (more so in early games), but for the final challenge it's going to ultimately depend on the card's you have accumulated and how well you built your deck. Teague is more than likely going to use Authority and Mutant cards, but she also has a lot of grenades, mines, vehicles, and healers so they're not too much of a challenge. If you have gotten all the cards up to the point you reach the bar you won't have all of them but you'll have more than enough to beat her, just put together a deck comprised of three card groups with only their toughest ranged characters/buffers and no vehicles, healers, or explosives and you should be fine.

If all that isn't enough just put in the deck I used and use common sense to win the game.
MY DECK
MUTANTS: J.K. Stiles, Large Mutant, Kraken, Giant Mutant

AUTHORITY: Power Supply, Enforcer, Shielded Enforcer, Authority Mutant

SETTLERS: Captain Marshall, Valder, Lousy Hagar

Shrouded Mini Gun to fill up the last spot

hope this helps

I did this after completing the "Gotta have em all" achievment,

Teague can be found in the bar in subway town in the corner,

I used a guide on youtube. (Ive posted the link below)

The cards they use are as follows.

Shrouded Minigun
Gearhead Boss
Monarch
Gearhead Jet
Gearhead Shotgun
Giant Mutant
Large Mutant
Sally
RC Bomb Car
JK Stiles
Kraken
HE Grenades

I did this on my first attempt using these cards.


*I do not own the video and take no credit for its creation*

Desperado's solutions and deck got me the cheeve on my first try! I tweaked it a bit and used it to farm some cash, and obviously it's also good for the achievement. (Easy to have a beverage in one hand while playing cards) Teague's cards seem to ALWAYS hit for full attack value while mine NEVER hit for full value (robblerobble) But, I still win at least 2 out of every 3 matches, usually closer to 3 out of 4, using the following:

Power Supply, Enforcer, Shield Guard, Authority Mutant, elite Guard
Crazy Joe
Shrouded minigun
JK Stiles, Giant Mutant, Large Mutant, Kraken, Slime Mutant

The other guides are on the mark but I thought I'd add this video for those who prefer a video guide. I followed this and got it 1st time. Thanks to MondoAndo for creating this video.

If you're just like me and missed some of the cards on the way to beat Teague's hardest deck then you can use this deck to still get the achievement. By using this deck I beat her first try

The deck I used contained these cards:

Gearhead Shotgun
Advanced Sentry Bot
Authority Mutant
Elizabeth
Shield Guard
Captain Marshall
Portman
Kraken
Slime Mutant
Shrouded Heavy
Sally
J.K. Stiles

All of these cards are easily found since there all on the beaten path. Make sure you finished the Abandoned Distillery and the Gearhead Vault quests because you'll found three of them in these places(Portman > AD / Gearhead Shotgun & Adv. Sentry Bot > Gearhead Vault)

If you have anything that can make this solution better or more clear feel free to leave a comment and also if you vote negative please let me know why so I can change my solution

Ok so after extensive trail and error deck tries. I've found a decent deck that works especially if your like me and missed a lot of cards. so here's the deck i used
Enforcer
Shrouded Mini-gun
Scoop Mutant
Authority Mutant
Slime Mutant
Drone
Shield Guard
Sally
Shrouded Heavy
RC Bomb Car
JK Stiles
Ghost Boss

It took me a couple of tries but i finally had the powerhouse set-up where most of my tougher ranged guys came out she couldn't keep more than 2 cards on the field. so there's my solution. i hope it helps