Honestly, I could see a Feat to make Intimidate checks using STR modifier instead of CHR.
Maybe make it more flexible and use the highest of STR/DEX/INT. Slap in some Expertise in Intimidation and boom, you got yourself a Feat for those Burly Barbarians, Rakish Rogues and Wicked Wizards who want to impose their will onto people without having to stack CHR.
