I flew from Louisiana to Colorado a few months ago. I was on IV Doxy at the time. The medication was in those eclipse ball type dispensers, they use a vacum to slowly release the medicine. They needed to be refrigerated, so I bought dry ice and put them in a colapsable ice chest, the dry ice has to be able to vent. On each ball there is a tag with the presciption info. The airline security opened my bag and looked though it, but they didn't give me a hard time about it. I also had my flushes in the case. They did also pull me aside for a "random" screening before boarding. But again, I just did what they asked and it was no problem. My meds where going into my port-a-cath, so I'm not sure about the PICC line. I just had paperwork from the surgical center saying what it was.
I'd call the airline if your unsure of what you need to do, just for a sense of security that you won't miss your flight over it.
Enjoy Maui, wish I were headed there
. Best of luck.