Ling / hydra doom drop off 3 bases hard counters any sort of stargate play what-so-ever.
Edit: more info...
Im trying ling infestor recently and if p goes 1 or even 2 stagate for harrass I defend my 3base with queens / spores if needed into upgraded lings (+1) into about 10-15 hydra and maximum lings. Comes at around 12-13 min off the top of my head, and if they do have a coll out, it's generally only 1, and generally doesn't have range yet so same range as hydras....
Note that dropping this to their main will be much more effective than trying to bash your head against their naturals defences.
Note above timings based off forge fe...
Speaking of the ling/hydra doom drop, or even nydus for that matter, when do you scout for the stargates? The protoss could start pressure on you the moment you have scouted his stargates, all the while producing even more void rays from his stargates.
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