It is my opinion and practice that if, your medicine would be difficult to replace where you are going, you'd best hand bag the lot of it. If you stick your medicine in your check in baggage and it goes missing, you'll need at least a doctor's appointment and perhaps a specialist's as well, just to get your medicine replaced at a US pharmacy. ( No US pharmacist will accept a UK prescription.) Such an exercise will be time consuming, expensive and boring for you. Take all the stuff with you in your carry on and a bit more besides in case of you either want to or have to stay there a few days longer than intended.