EPTI disagree with a lot of the replies here. ZZ is probably one of the most annoying teams in 2v2. Your build as a zerg would be both 10 pool or one 10 pool and the other FE into splings/bane . After constantly build lings and/or send excessive mineral to the FE if someone did FE.
Both 10 pool if they both block ramp ie.. forge canon and rax n supply or double rax... you can just macro slowly into banes and then bane bust one of them preferable the terran the other protoss can't help. Both 10 pool will give you complete map control.
If TP block didn't block ramp it is GG. If T is going fast hellion (hint will be refinery before Rax or reactor) Mass speed lings and you should be fine with surround. Hopefully you have good micro. Toss would have to block his ramp or lings can overwhelm his base and terran won't be able to help. In areas where there is a share choke .. bane bust will do the trick even if you have to produce 12 banes to break a rax or gateway. Then run in with all your slings and GG.
Solid build is Sling and maybe Banes if the scenario arises.
If they go mass marine and mass zealot you can simply bane them on your creep and complete surround with splings. You might not even need banes just outproduce with slings. You should always have more units than them in early game. It should not last into a 15 minute game or else it's GG for zerg.
