POTENTIAL CONFLICT LTSS WHEN SMA PLT ALLOWS A HDG TRACK DEV TO OCCUR.

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ON THE AFTERNOON OF OCCURRENCE; THE WX DIRECTLY N AND W OF FIELD WAS IFR INCLUDING LEVEL 4 TSTMS. MY DEST WAS SARASOTA. IN ORDER TO CIRCUMNAV THE WX I DECIDED A SW DEP WOULD BE SAFEST. THE PREVAILING WINDS AT PALM BEACH INTL WERE FAVORING RWY 13; SO I REQUESTED THAT RWY FOR TKOF; HOPING TO GET A R TURN APPROVED AFTER TKOF. MY RWY REQUEST WAS APPROVED; BUT AFTER TKOF THE TWR ASSIGNED A L TURN TO 090 DEG HDG. I WAS THEN HANDED OFF TO DEP WHICH ASSIGNED A HDG OF 030 DEGS AND CLB TO 2500 FT. THIS HDG WOULD HAVE PUT US INTO IFR WX SO I ASKED FOR A 'MODIFIED' HDG. THE CTLR ASSIGNED A NEW HDG OF 070 DEGS. I COMPLIED WITH THIS HDG ALTHOUGH I WAS STILL FEARFUL OF FLYING INTO IFR WX. THE CTLR THEN ISSUED A NEW HDG WHICH I THOUGHT TO BE 130 DEGS. I BEGAN TO TURN TO THIS DIRECTION. WHEN I REACHED A HDG OF 110 DEGS THE CTLR ASKED ME TO VERIFY MY HDG. HE THEN GOT UPSET AND TOLD ME TO FLY A HDG 030 DEGS IN ORDER TO MAINTAIN SEPARATION FROM AN AIRLINER ON TKOF CLB. I COULD NOT SAFELY OR LEGALLY FLY INTO IFR WX; SO THEREFORE; I COULD NOT COMPLY WITH HIS REQUEST. I THEN LOOKED OVER MY R SHOULDER AND SAW THE AIRLINER PASS AT A HORIZ DISTANCE OF APPROX 3/4 - 1 MI. AFTER THE AIRLINER PASSED I WAS ASSIGNED A SOUTHERLY HDG AND I WAS BERATED FOR VIOLATING AN 'ATC CLRNC.' THE INCIDENT TOOK PLACE OVER A PERIOD OF APPROX 2 MINS. I BELIEVE IT COULD HAVE BEEN AVOIDED IF EITHER MY TKOF OR THE JET'S TKOF (FROM PALM BEACH) WAS DELAYED ONLY BY MINS.