Dude, I don’t mean to be harsh here... but I’m running a similar setup to you and this is a non event... the gauntlet before baron is way harder than baron himself... I run 4 hunters and 1 shammy for this... two cats, two birds with screech...
simple as... pets on passive run into room go left and stack with your back to the wall.
drop explosive traps and send your pets... beastial wraith, intimidation, aimed shot. Sting...
heal which ever pet is taking damage...
when the first wave of skeletons come just heal with the healer and stand on the 4 stacked explosive traps.
multishot if you don’t rip enough agro.
Second bunch of skeletons get a magma totem and a stone claw totem and I get the 4 hunters to volley where they are standing. Another aimed shot in baron and normally he’s about dead... normally above half mana on all chars at the end, and maybe one pet dies during an aoe phase.