So you want a class with Bomb, Mutagen and Poison features but with no Potions and Extracts? There is a character that can throw stuff at people to great effect, transform into rampaging beast with beastly attributes and well, use poison too. That character is called a barbarian.
Jokes aside, there is a 3rd party Mutagenic Rager archetype that exchanges rage feature line for mutagen feature line. An interesting idea for a start, but completely changes how Barbarians work. Usually you want to either ragecycle (exit and enter rage every turn) to maximise once-per-rage powers or maximise the amount of time you can rage at once. Here, you can only rage once daily but for a prolonged amount of time.
Now, Hurling is a great line in its own right and you can combine its power with Dexterity-improving mutagen. You can also get a a level in Assassin prestige class to get poison use class feature and then immediately switch to Guild Poisoner and get all manner of poison-brewing goodness. At Guild Poisoner level 2 you will get Toxic Trick and by carefully selecting bomb-related tricks (Smoke Bomb, Poison Bomb) you can spend your Trick quota to throw poison bombs at people. Granted, they don't explode, just put enemies in writhing agony.
To sum up, you can totally play a poison-hurling barbarian on roid-rage.
You can also as Nox rightly said, play Pathfinder community suggestions. One that stands out is a Demolitionist which combines full attack progression of Fighters and bombs of Alchemists. However, it also lets go of Mutagens and Poisons, in favor of getting blast resistance mutagens and some bonus feats. It sounds quite awesome, running around blowing stuff up and might be what you are looking for.