MIL T44 PLT ATTEMPTING TO AVOID WAKE TURB IS ASKED TO EXIT THE RWY; THEN GETS PERMISSION TO DEPART WITH IMMEDIATE TURN. TURNS BEYOND CLRNC HEADING AND IS GIVEN IMMEDIATE TURN BACK BY ATC.

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CLRNC WAS RECEIVED FROM LAS CLRNC WHICH STATED 'AFTER DEP TURN R HDG 270 DEGS PROCEED ON MEADE 1 DEP; PEACH SPRINGS TRANSITION. STUDENT IN L SEAT HAD 270 DEGS SET ON HDG BUG. I HAD 360 DEGS FOR MEADE 1 DEP SET IN MY FLT DIRECTOR. WE WERE GIVEN TKOF CLRNC ON RWY 19L WITH A WAKE TURB CAUTION FROM DEPARTING HVY TFC ON RWY 25. I REPLIED TO TWR THAT WE NEEDED A COUPLE OF MINS DELAY FOR WAKE TURB. TWR THEN CANCELED TKOF CLRNC AND INFORMED US TO EXIT THE RWY. AFTER EXITING THE RWY I INFORMED TWR THAT I COULD TKOF IF I COULD GET AN IMMEDIATE TURN OUT. TWR STATED 'EXPECT THAT.' SUBSEQUENTLY I WAS AGAIN CLRED FOR TKOF. ONCE WE BECAME AIRBORNE; IT WAS EVIDENT THAT MY STUDENT WAS NOT GOING TO START AN IMMEDIATE TURN TO THE R; SO I TOOK THE CTLS AND STARTED THE TURN. WITH THE THOUGHT OF WAKE TURB STILL WEIGHING HEAVILY ON ME; I TURNED (MISTAKENLY) THROUGH THE 270 DEG HDG TOWARDS 360 DEGS. TWR CALLED HELI TFC AT MY 2-3 O'CLOCK POS LOW; WHICH I VISUALLY PICKED UP. THEN I WAS HANDED OFF TO DEP. LAS DEP STATED THAT I NEEDED TO BE ON THE 270 DEG HDG. I IMMEDIATELY STARTED A TURN TO THE L. WHILE IN THE TURN; DEP STATED 'TURN L IMMEDIATELY TO 250 DEGS FOR ACFT AVOIDANCE.' BY THE TIME THEY FINISHED SAYING THIS; I WAS ROLLING OUT ON A 250 DEG HDG. I NEVER SAW AN ACFT IN MY VICINITY WHILE IN THE TURN OR AFTER ROLLING OUT. I BELIEVE THAT IF THERE HAD BEEN NO CONFUSION ON THE GND OVER WAKE TURB DURING MY INITIAL TKOF CLRNC AND THE STUDENT IN THE L SEAT HAD STARTED AN EARLY TURN; THIS MAY NOT HAVE OCCURRED. IT WOULD HAVE ALSO BEEN EXTREMELY HELPFUL IF TWR COULD HAVE RESTATED MY TURN-OUT INSTRUCTIONS UPON ISSUING TKOF CLRNC. THE MAJOR FACTOR CAUSING ME TO TURN THROUGH 270 DEGS WAS THE CONCERN OVER WAKE TURB; WHICH LED TO A MENTAL ERROR ON A FAIRLY COMPLICATED 'STANDARD INST DEP.'