My daughter is.2 and started coughing, isn't producing anything, but it doesn't sound dry. My insurance won't start for 30 days. What OTC meds are ok?

Symptom relief. I'm sorry your daughter isn't feeling well. If it looks like she has a cold and is uncomfortable with a fever - it is fine to give Ibuprofen or acetaminophen. There are no cough suppressants for children that young. Taking her into a hot shower (steam) can help with nasal congestion. Otherwise it's just the basics: time, rest, lots of love. You can expect a cold to last 5-7 days. Good luck!