Ragechemist/Vivisetionist(?) Alchemist
Human
Prestige Class into Master Chymist later for the flavor of your mutagen bringing out a new personality.
Maybe dip a level or two of Barbarian so you can Rage while you mutate?
Straight Alchemist might be better though because Grand Mutagen.
Max out Str and Int, secondary Con, everything else is expendable.
I don't feel like doing a whole build though.
Half Orc Barbarian (Titan Mauler Archetype) Specializing in Unarmed combat, Improvised Weapons and Sundering. For Flavor, the character looks more Human when not raging and more Orc when raging.
Human Synthesist with very low physical stats and very high Int. Hulk is Fused Form. Dip Alchemist and Barbarian for Rage/Mutagen strength boosts.
Roleplay the details.
Human Ragechemist Alchemist and Master Chymist.
Improved unarmed and Catch off guard are a must. The growth and greater/grand mutagens are also necessary for being the Hulkiest. Of course, his normal persona seems a bit meek. His alter ego? Big, mean, and green obviously. Brutality even offers a damage bonus to simple and natural weapons. That, naturally, includes punching and improvised weapons.
I feel like the Master Chymist has everything you could possibly want to make, from the different persona (which can be different alignment and appearance) to transforming spontaneously when in danger.
What makes you think the Hulk has a low Will save?
Pathfinder changed Jump from being a Strength-based skill, to bundling it into Acrobatics and making it a Dexterity-based skill. So, this version of The Hulk will already not have his famous Mile-Jumps without some heavy expenditure of other resources.