Yeah that died with the current meta more or less, I used to play it all the time, had a really great win ratio with it, but objectively it was overpowered. To nerf beast synergy decks the cost of starving buzzard was increased from 2 to 5 and it got a stats buff. Beast synergy decks now pretty much play a little like handlock. Keep dogs, cheap minion and a hyena in hand and wait until the opportune moment to cause devastation. Don't wait too long obviously and try and use cards like ogre/highmane/sludge to lure out hard removal and silences.
A deck built around that will suffer against aggro without some early game cards so I'd take 2 zombie chow and 2 spiders as a minimum. You'll also want the typical hunter cards mark target for their legendary or early giant, charge kodo x2 etc. This build skips things like traps although you may want to add in a firetrap if the eminently popular zoo/hunter aggro become a problem. Ideally you're looking for a priest/paladin/warrior control match up and I'd put you about even against control warlock given the amount of removal they have, you'll have to make sure you can buff the hyena over 5hp otherwise you're in trouble from infernal/soulfire combo.
For a sample deck which I haven't tried and will most likely need tweaking.
1x Hunters Mark
2x Chow
2x Webspinner (so much value from this card, it's basically a free 1/1 with an extra beast)
1x Flare (In this secrets heavy meta its generally a good card to have)
2x Haunted Creeper
2x Scavenging Hyena
2x Animal Companion
2x Unleash the hounds
2x yeti
2x houndmaster
2x oasis snapjaw (excellent at killing minions, exceptional when buffed with houndmaster.)
1x Explosive shot
2x Sludge Belcher
2x Stampeding kodo
2x Tundra Rhino
2x Savannah Highmane
1x King Krush (One of the best finishers, imo vastly underrated card.)
If you don't have some of the cards, replace like with like in terms of power, e.g. Savannah highmane could be swapped with boulderfist ogre, krush can be replaced with core hound paired with Tundra Rhino.
EDIT: The deck plays like a OTK (One Turn Kill) deck crossed with aggro pretty much. Build up your hand that can kill them in one hit while defending the board with everything else and waiting for an opportune moment to make your play. This deck is actually a lot more flexible than some OTK decks like Miracle Rogue as you get King Krush (or corehound/Rhino) to make it a Two Turn Kill. Use the early minions to put pressure on the opponent if you can, try and get their hp as low as possible while leaving the board clear of taunts and the like. Hunter has some powerful early game in Animal Companion, if you get a Chow in hand, I'd mulligan the rest to try and get that for your turn 3 play (2 can be arrow unless you get something better). Otherwise mulligan everything for turn 1 plays.
EDIT 2: Just thought of a tweak, add unstable ghoul and snake traps for early hyena boost. As the ghoul detonates, the snakes will die and you'll have a 8/5 hyena perhaps as early as turn 3/4