B767-300 NEAR LOUIZ WANTS TO DEVIATE WX. COMMERCIAL RADIO ADVISED FLT TO STANDBY. CAPT DECIDED DEV TO THE N WOULD BE BETTER AND COMMERCIAL RADIO ADVISED STANDBY. NEARING NUCAR CAPT ELECTED TO DEVIATE N WITHOUT CLRNC. FO RETURNED TO COCKPIT AND NOTED ACFT WAS IN ZMA AIRSPACE. SUGGESTED CALL ZMA ON VHF. NEW FO UNFAMILIAR WITH COM PROCS ON INTL FLTS.

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WHILE INBOUND FROM MADRID; APPROX 90 MI FROM LOUIZ NAVIGATIONAL FIX; I NOTICED ON THE RADAR THAT THERE WAS SOME WX IN THE VICINITY OF LOUIZ TO NUCAR AND POSSIBLY FURTHER TO THE W. AT FIRST IT APPEARED THAT A DEV S OF COURSE WOULD CIRCUMNAV THE CELLS AND THIS WAS REQUESTED ON THE HF RADIO TO NY COMMERCIAL RADIO. I WAS TOLD TO STANDBY. WHEN AT ABOUT 50 MI FROM LOUIZ; THE PICTURE ON THE RADAR HAD GRADUALLY CHANGED TO REQUIRE A N OF COURSE DEV. SINCE I HAD NOT YET BEEN CLRED FOR THE ORIGINAL S OF COURSE REQUEST; I CALLED COMMERCIAL RADIO AGAIN TO CHANGE THE REQUEST FROM A S DEV TO ONE TO THE N ABOUT 30 MI. I WAS AGAIN TOLD TO STANDBY. THE FLT CONTINUED ON COURSE UNTIL FINALLY TO AVOID FLYING INTO A TSTM AND ENDANGERING THE FLT; I DEVIATED ON MY OWN. I CALLED COMMERCIAL RADIO AND NOTIFIED THEM WHAT I WAS DOING; AND THAT I WOULD KEEP THE DEV AT A MINIMUM. WE ACTUALLY DEVIATED ABOUT 20 MI N OF LOUIZ AND NUCAR. ONCE WE WERE BACK ON COURSE TOWARD HEATT; I CALLED COMMERCIAL RADIO AGAIN AND INFORMED THEM THAT I WAS ON COURSE; AND ASKED IF I SHOULD BE TALKING NOW TO ZMA ON VHF. WHEN I SWITCHED OVER; MIAMI GAVE US SOME DELAY VECTORS AS WE WERE IN THEIR AREA FOR SOME TIME WITH NO COM ESTABLISHED. I DO NOT BELIEVE THAT THERE EVER WAS A TFC CONFLICT. WHILE WE WERE DEVIATING; THE ONLY TFC ON THE TCASII WAS ONE BEHIND US WHICH I BELIEVE WAS COMPANY FLT. SUPPLEMENTAL INFO FROM ACN 346067: I NOTICED THE WAYPOINT NUCAR WAS BEHIND US SO I SET THE MAP SCALE TO 160; FROM ABOUT 40. MIA APPEARED AT THE TOP OF SCREEN. I MADE THE COMMENT; SHOULDN'T WE BE TALKING TO MIA? THEIR DEV CAUSED US TO PASS NUCAR AND NOT GET HANDED OFF TO MIA. NY COMMERCIAL RADIO ASKED US TO RPT NUCAR; I BELIEVE; AND THAT IS WHEN THE TCASII ADVISED THEM OF OUR POS INSIDE NUCAR AND WE WERE QUICKLY HANDED OFF MIA. ANOTHER CONTRIBUTING FACTOR WAS THE ACTUAL FO; HE GAVE ME HIS LEG; WAS NEW ON INTL. IT WAS HIS SECOND TRIP SINCE CHKOUT SO HE DID NOT KNOW THE RADIO PROCS WELL AND WHERE WE WERE SUPPOSED TO GET HANDED OFF.