2 year old getting back molars. Making herself vomit by chewing on objects or hand.

My 2 year old is getting her back molars in. Unless she has a pacifier, she will chew on her hand or other objects. The problem is that she's making herself vomit by sticking things too far into her throat.

What teethers can I give her to prevent this but also soothe her? She's rejected the frozen washcloth idea. And so far when looking into molar-specific teethers, they're all long and slim. She'd for sure make herself throw up with those.