Considering that int med still doesn't have all of it's jutsus, I am compiling some of the ideas that the community has suggested here:
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Lingering Poison - An area of effect jutsu that makes a small area able to poison enemies who step into it, giving debuffs or poison effects. Would have low or no damage scaling for balancing if needed. Could also give a low poison effect but while silencing enemies who step in it for a short time.
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Lethal Injection - Kinda of a "reverse mystical palm", a long stand cast with very small aoe that will deal a very strong poison effect (potentially up to 800 or 1k dmg total, up to balancing), or give a very strong debuff like -80% fortitude. Might not be useful in battles, but seems like fun for a poisoner ninja to have. For balancing, a long long cooldown could also be used.
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Venom snakes - An area of effect jutsu that would summon snakes from your body to attack enemies in front of you, snaring and inflicting poison effects.
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Toxic chakra - A homing jutsu in which you send toxic chakra to an enemy that deals relatively lower damage but adds a debuff that makes so the target can't be healed by other medics or pills for a short while. Could potentially work like earth prison and evolve from homing to area of effect. Another possibility could be consuming already existing poison effect on the enemy to deal larger damage, but dispelling the poison.
Another aspect that was talked about was reworking the poison debuff altogether to be more relevant, like adding the stacking of different poison effects, or being able to inflict a weaker version of current battle injuries.
Please add more suggestions bellow! I for sure haven't covered all of them.