Remove height advantage and allow Inspiration to be used in combat, player's choice. Adds to strategy. Is your character dying? Failed Death save twice, failed the 3rd? Nope, use inspiration and try again.
Think about it. When is Inspiration most important? Battle. Not dialogue. In real life, you inspire people before battle to help boost their focus and morale. So when should Inspiration be used most in this game? Combat.
You said it yourself, Inspiration is used in dialog BEFORE BATTLE before everyone charges into the enemy line.
Its not used in Battle, only when you cry out loud to rally behind your King or Banner. Or a warcry from a Fighter / Barbarian, but then thats called Buff.