Hunter is a really hard deck to play and we tried a lot of edition and here is the best, which played with a little positive Win Rate 54%.
To win this deck you should use your brain and have good luck.
He have strong Midrange deck and win all Control decks.
Have good chance with Tempo decks like Jade Druids.
Sunfury Protector and Houndmaster gives our buffed minions real power vs Aggro decks.
Cult Master gives us good draw.
This is not Tier 1 deck and if you seek for easy climbinf with 70% Win Rate - take Aggro Shammy and get a Legend without any thoughts. You can do it even with a lot of misplays.
I should to say again that you must think what to do when playing this deck. There is no one constant Mulligan. It depends on other cards you have.
Maybe our gameplays will help you to understand the right way.
Always want to keep:
Kindly Grandmother, Trogg Beastrager and Shaky Zipgunner.
Quick Shot, also can keep Unleash the Hounds and Sunfury Protector with above cards vs Aggro decks (Warriors, Shamans and Rogues).
Animal Companion with The Coin.
We try to control the board. We have strong minions and a lot of damage. So you need to realize when to stop fighting for the board and go face.
Vs Aggro decks we should play Big Taunts = Easy Win.
One of the key cards in this deck is Tundra Rhino.
It gives us following combos:
Scavenging Hyena + Unleash the Hounds = Big Big Hyena straight to face.
Beast with Deathrattle: Kindly Grandmother, Rat Pack and Savannah Highmane = value trades.
Draw Combo: Unleash the Hounds + Cult Master = Big Draw.
There are a lot of possibilities. We can discuss them in Comments and I'll add them here.
Here is a Gameplay vs 2x Aggro Shamans, Miracle Rogue and Dragon Warrior,