Moldy pet carrier

I am going to be traveling with a 9 week old puppy in a few weeks’ time. When I went to the garage to get my old fabric, pet airplane carrier I found it covered with fuzzy mold, inside and out. I cleaned it out with Eucalan and tea tree oil and scrubbed it. I’ve allowed it to air out both inside and outside. It still smells moldy. I am very sensitive to mold, and I am concerned about such a young puppy traveling in it. Is there more I can do?