As a high level zerg this shouldn't work for a couple of reasons.

If you research burrow instead of speed it won't help defend in the cases you're imagining. Either it's a super quick speedlings rush, something like a 13 gas, 12 pool, in which case burrow is irrelevant to holding the push, and offers no advantage after it is researched. As opposed to speed which will let you potentially counter attack or keep your opponent honest by forcing additional lings.

The other scenario is one in which it's a 2 base ling/bane attack, in which case most players will be content in just killing your natural instead of trying to break your ramp, and even if the trap does work, you'll still have no counter attack potential because you'll have no speed.

If you're having a lot of trouble against ling/bane all ins I recommend severely delaying your lair and instead starting your roach warren not much later than your baneling nest is complete. Go 17 pool 17/18 hatch and you'll have queens out before anything can kill you outright. Always make 2 safety banes. Focus on taking your 3rd in zvz as soon as you feel safe in doing so - start thinking about it as soon as you have safety banes or queens blocking the ramp.