This Morning, I Went To Clean Out My Ear After

This morning, I went to clean out my ear after showering and the qtip came out bloody. I've never had bleeding from my ear or ear problems of any kind. And no blood or bleeding disdorders. I feel no pain, fever or other symptom. I do tend to "overclean"; I have ascertained that the blood is coming from quite deep in the ear passage and the bleeding seems to be decreasing. I'm going to fly across country tonight for Thanksgiving. Is there anything I should do on the plane just in case? Dramamine? preemptive Tylenol?