The result of this fight would mostly depend on which incarnation of the hulk Hellboy is fighting. If it's smart 'Bruce Banner' Hulk, then I'd actually root for Hellboy, because Hulk lost a lot of his strength when he was intellegent and let go of his rage.
This looks like my favourite 'wild hulk' though. And as everyone knows, the madder hulk gets, the stronger hulk gets. Sorry Hellboy, you're going to lose. Badly.