ACR SMT ON DEP HEADING DEVIATION RESULTED IN POSSIBLE LESS THAN STANDARD SEPARATION AND POTENTIAL CONFLICT.

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IT WAS A COOL; CLOUDY SPRING MORNING IN WAUSAU; WI; WHEN MY F/O AND I STARTED OUT FOR THE ARPT. WE HAD TO LEAVE THE HOTEL AT XA35 FOR THE 20 MIN DRIVE TO CWA FOR AN XB25 DEP. WE HAD ARRIVED AT XA-6 THE NIGHT BEFORE AFTER DODGING TSTMS AND RAIN SHOWERS FOR 3 LEGS BTWN MSP AND CWA. AS IS USUALLY THE CASE ON THESE SCHEDULED SHORT OVERNIGHTS; WE AWOKE DEAD TIRED. AFTER WE ARRIVED AT THE ARPT; WE LEARNED THAT WE WOULD AGAIN BE FIGHTING RAIN SHOWERS FOR OUR RETURN TRIP TO MSP IN AN SMT; BUT NONE OF THE SHOWERS SHOULD BE OF ANY MAJOR SIGNIFICANCE. THE PREFLT PROCS WERE COMPLETED W/O ANY MAJOR PROBS. HOWEVER; AS WE WERE TAXIING FOR DEP; MY ATTN WAS CENTERED ON THE FIRST FLT OF THE DAY ANTI-ICE AND DE-ICE CHKS WHILE MY F/O DID THE PAX BRIEF; RECEIVED CHANGES FROM COMPANY AND RECEIVED A CLRNC TO MSP FROM ATC. THE CLRNC HAD A VOID TIME OF XB30. WE WERE NOT DONE WITH THE CHKLIST YET; SO I ADVISED MY F/O TO INFORM CENTER THAT WE WOULD NOT BE ABLE TO MEET THE VOID TIME. HE DID AS SUCH AND CENTER GAVE US A REVISED VOID TIME OF XB33. WE COMPLETED THE CHKLIST AND WERE AIRBORNE AT XB33. THE CLRNC STATED TO MAINTAIN RWY HDG (RWY 17 DEP); BUT I WAS NOT AWARE OF THIS DUE TO BEING DISTRACTED BY THE ICE CHKS. I SHOULD HAVE HAD MY F/O READ THE FULL CLRNC BACK TO ME; BUT FAILED TO DO SO BECAUSE OF BEING SLIGHTLY RUSHED BY THE VOID TIME. AT ANY RATE; AFTER TKOF (IT WAS F/O'S LEG) WE MADE A TURN TO A HDG OF W; WHICH IS OUR NORMAL DEP OUT OF CWA. AT THIS POINT; AS THE PNF; I CALLED CENTER AND RPTED CLBING TO 6000'. I WAS STILL UNAWARE OF OUR HDG RESTRICTION. CENTER ASKED WHAT HDG WE WERE ON AND I RESPONDED THAT WE WERE ON A HDG OF 270 DEGS. CENTER THEN ADVISED US OF THE AIRSPACE VIOLATION AND GAVE US A NUMBER TO CALL ATC UPON LNDG IN MSP. THE REMAINDER OF THE FLT WAS UNEVENTFUL. IN RETROSPECT; I FEEL THERE WERE SEVERAL CONTRIBUTING FACTORS TO THIS OCCURRENCE. FIRST OF ALL; BOTH PLTS SHOULD ALWAYS KNOW THE CLRNC LIMITS BEFORE TKOF--THE TURN IN THE WRONG DIRECTION WAS AN HONEST MISTAKE ON THE F/O'S PART; BUT IT ALSO COULD HAVE HAPPENED TO ME IF IT WERE MY LEG; AND IF BOTH CREW MEMBERS UNDERSTAND THE CLRNC THIS WOULD BE LESS LIKELY TO HAPPEN. SECONDLY; WHENEVER A PLT RECEIVES A VOID TIME ON A CLRNC; SLOW DOWN AND THINK TWICE TO PREVENT THESE TYPES OF ERRORS. FINALLY; I THINK THE REGS ALLOWING SHORT OVERNIGHTS SHOULD BE LOOKED INTO. FOUR HRS OF SLEEP AFTER 3 LEGS WITH WX IS JUST NOT ENOUGH--ESPECIALLY IF THE HOTEL IS A 20 MIN DRIVE EACH WAY. THIS WAS A POTENTIALLY DANGEROUS SITUATION. APPARENTLY; THERE WAS AN ACFT IN A HOLDING PATTERN W OF THE ARPT AND ALTHOUGH WE WERE WELL ABOVE HIM BY THE TIME WE XED HIS POS; WE MUST HAVE CLBED THROUGH THE OUTER EDGE OF HIS PROTECTED AIRSPACE. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING. FSDO IS INVESTIGATING INCIDENT. CALLED RPTR AND ASKED FOR FLT NUMBERS; ETC; BUT NOTHING ELSE HEARD FROM FSDO. SAID TWR DID SAY WAS POSSIBLE LOSS OF SEP.