INEXPERIENCED IFR SINGLE PLT OF SMA DEPARTING LGA DEVIATED FROM ATCT LCL CTLR ASSIGNED HEADING DUE TO CONCERN OVER SEPARATION WITH INBOUND TRANSPORT.

Narrative

IN MY AIRPLANE AT NEW YORK LAGUARDIA ARPT; I CALLED FOR MY CLRNC. THEY TOLD ME; THEY HAD NO CLRNC FOR ME. THIS WAS BECAUSE I HAD FORGOTTEN TO GET A DEP RESERVATION. THAT WAS WHAT CAUSED MY 1.5 HR DELAY ON THE GND. ON MY WAY TO RWY 31 I WAS REPOSITIONED IN THE LINE TWICE AND MY DEP CLRNC WAS CHANGED I THINK; TWICE. THE FIRST PART OF MY CLRNC WAS 'TURN R HDG 360 DEGS; CLB AND MAINTAIN 5000 FT MSL.' TWR INSTRUCTED; 'CLRED FOR TKOF RWY 31; TURN R 360 DEGS; TFC ON A 3 MI FINAL.' I DIDN'T SEE THE TFC UNTIL I WAS ON THE 360 DEG HDG; AND CLBING. IT WAS A LARGE JET TRANSPORT. I PERCEIVED THIS AS A MISTAKE BY EITHER ME OR THE TWR. THE RADIO WAS VERY CONGESTED AND I WAS NOT COMFORTABLE BEING THIS CLOSE TO THE APCH PATH OF THE BIG JET TRANSPORT; SO I CONTINUED THE TURN PAST N 360 DEGS AND CONTINUED TO CLB TO AVOID THE TFC LNDG ON RWY 22. WHEN TWR GOT BACK TO ME; HE SAID; 'YOU WERE TOLD TO TURN R TO 360 DEGS!' 'TURN R TO 070 DEGS MAINTAIN 1500 FT;' TURN R 140 DEGS; AND SO ON. THE REST OF THE TRIP HOME WAS UNEVENTFUL. LOOKING BACK NOW; I'M PRETTY SURE THAT THERE WOULD HAVE BEEN NO COLLISION; AND POSSIBLY NO CLOSE CALL. IT JUST LOOKED TOO CLOSE; AND LOOKED LIKE A MISTAKE TO ME SO I TURNED TO INSURE OUR CLRNC. THE 360 DEG HDG WAS PUTTING ME STRAIGHT FOR THE TFC. THE TWR CTLR HAD NO IDEA THAT OUR CLOSE PROX WAS GOING TO SCARE ME INTO CONTINUING MY TURN PAST 360 DEGS; BUT IT DID. WHEN HE CAME BACK WITH THE VECTORS; I THINK HE KNEW WHY I DIDN'T FOLLOW THE ORDER TO FLY 360 DEGS. IT JUST DIDN'T LOOK RIGHT; FROM MY PERSPECTIVE.