How to handle frequent night wakings after a recent sleep regression?

My 18-month-old used to sleep through the night consistently, but for the past 3 weeks she's waking up 2-3 times per hour. She's not sick, hasn't changed diet, and her room is still comfortable. She clings to me and won't settle unless I rock her. I've tried gentle methods but feel completely exhausted. What evidence-based strategies do you recommend for this phase?