Hubby has done it both ways. Not carrying large script bottles is great but we always wonder if we'll be asked to supply script so we get one from the doc in case.
Last trip we just loaded up a pill carrier and carried it in carryon. TSA "fondled" it then sent us on our way. However, once we had to get a script at the Medical center in Belair SXM and we we told to be sure to have the paperwork for customs upon return to USA. They DID ask tons of questions about THAT one but said nothing about the other pills.