There's actually an optional rule for STR based intimidation checks. both WotC and DDB support this. I use it frequently in my campaigns, as it doesn't make sense that the Warlock and the Bard can outperform the 18-20 STR half-orc barbarian (automatically proficient in intimidation). You can alt-rule those checks, using STR instead of CHA. I think this should be an option in character creation, where intimidation chooses the higher stat, whether that's CHA or STR. There's a strong precedence for it. I just wonder if Larian will implement it. :-/