With my first, menthol was on the "No" list for me. Maybe check the bag and see if it says anything about taking while pregnant. Just to be safe, call your doctor.
I ended up getting Halls Breezers. The active ingredient is pectin. It's the only thing that helps me get through the work day. I'm a dental hygienist and my mask makes it even harder to breathe.
Re: Cough drops - safe?