C182 PLT OVERSHOT INITIAL CLBING HOLDING ALT DUE TO SINGLE PLT WORKLOAD IN IMC AND THE WRONG ALTIMETER SETTING.

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I DEPARTED UIZ ENRTE TO AKR ON AN IFR FLT PLAN. I WAS GIVEN A CLB TO 5000 FT BY DETROIT APCH. AT 5300 FT I WAS ASKED FOR MY ALT; ALT CLRNC LIMIT AND WAS READ THE ALTIMETER. I RESPONDED '5300;' '5000' AND 'CORRECTING.' THE WX FROM THE CURRENT METAR AT MTC; APPEARED TO BE SUFFICIENT TO PERMIT ME TO DEPART UIZ AND PICK UP MY CLRNC AIRBORNE. (UNFORTUNATELY; THERE IS NO CLRNC DELIVERY FREQ AT UIZ AND ATTEMPTS TO REACH SELFRIDGE APCH ON THE GND WERE NOT SUCCESSFUL.) I DEPARTED BUT FOUND THE CEILINGS TO BE LOWER THAN EXPECTED; EVEN THOUGH THERE WERE ACFT IN THE PATTERN. I CALLED MTC APCH FOR MY CLRNC WHILE CIRCLING THE ARPT; TRYING TO REMAIN VISUAL; AND LOOKING FOR OTHER ACFT. SMART-MOUTH CTLR AT MTC EVENTUALLY GAVE IT TO ME. THE RTE GIVEN (RV-WINGS-AIRWAY TO AKR) MAXIMIZED OVERWATER FLT AND; FOR SAFETY REASONS; I ASKED FOR ANOTHER RTE -- DENIED. WHILE TALKING TO DETROIT APCH I WAS GIVEN A CLB TO 5000 FT. AT 5300 FT I WAS ASKED FOR MY ALT; ALT CLRNC LIMIT AND WAS READ THE ALTIMETER SETTING. I RESPONDED 5300 FT AND 5000 FT AND 'CORRECTING.' WHILE PART OF THE REASON FOR THE 'BUST' WAS A MINOR ALTIMETER SETTING ERROR; THE MAIN REASON WAS DISTR. ALTHOUGH I HAD SET MY 'ALT REMINDER' (MY TIMER) FOR '5000 FT;' I DID NOT CHK IT WHILE IN IMC; SETTING RADIOS AND HEADING INDICATOR; JUGGLING CHARTS TRYING TO FIND WINGS; ETC. WHAT CAUSED MY ERROR: A 'BAD START' LEAVING UIZ WITH MTC APCH; TURB; IMC; HIGH WORKLOAD/SINGLE PLT; A ROUTING CONSIDERED TO BE ILL-ADVISED AND 'HIGH HAZARD' FOR A SINGLE ENG ACFT; AND NO CLRNC DELIVERY FREQ AT UIZ (SO 'ISSUES' COULD BE SORTED OUT ON THE GND). CLRLY; I CAUSED THIS PROB; NOT ATC. PRIMARY CORRECTIVE ACTION IS BETTER MULTI-TASKING. SECONDARILY; IT WOULD BE USEFUL IF CTLRS; PARTICULARLY THOSE WHO DEVISE ROUTINGS AND ISSUE CLRNCS; WOULD BE SENSITIVE TO CERTAIN HAZARDS ASSOCIATED WITH OPERATING LIGHT; SINGLE-ENG ACFT - FOR EXAMPLE; IF AN ENG OR SYS FAILURE WERE TO OCCUR AND A DITCHING WERE LIKELY IN THE COLD WATER; IT IS HIGHLY LIKELY THAT DEATH WOULD RESULT. ('SIDE NOTE:' ON A PREVIOUS TRIP FROM THAT AREA; I HAD ALSO FILED YQB-SKY; WHICH MINIMIZES OVERWATER FLT AND HAD BEEN GIVEN IT.) THE DTW CTLR WAS PROMPT; PROFESSIONAL AND COURTEOUS IN HANDLING MY ALTDEV -- THANKS!