AN FAA INSPECTOR QUESTIONS A SUCCESSFUL CIRCLE-TO-LAND APCH.

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MY FO WAS FLYING THE VOR RWY 27 APCH. UPON REACHING OUR MDA OF 420 FT AND THE MISSED APCH POINT AT 4.8 DME; WE LOST CONTACT WITH THE GND DUE TO THE RAGGED CLOUD BASE. WE EXECUTED A MISSED APCH PER THE PUBLISHED PROC AND CONTACTED ZAN TO REQUEST ANOTHER VOR RWY 27 APCH. WE BROKE OUT 1/2 MI PRIOR TO REACHING OUR MISSED APCH POINT. THE RWY WAS OFF TO THE R ABOUT 1/4 MI AND I DETERMINED THE LNDG TO BE MUCH SAFER TO MAKE A L CIRCLING APCH AT 500 FT THAN TO TRY TO TURN R TOWARDS THE RWY; THEN L TO LINE UP WITH RWY 27. I TOOK CTL OF THE ACFT; SINCE THE RWY WAS ON MY SIDE DURING THE L BANK. THE VISIBILITY WAS IN EXCESS OF 6 MI; ALLOWING FOR A NORMAL 30 DEG BANK TO RWY 02. AFTER ENTERING THE TERMINAL BUILDING; I WAS APCHED BY AN FAA SAFETY INSPECTOR FROM FSDO IN FAIRBANKS. HE QUESTIONED THE VALIDITY OF MY ALT; AS WELL AS THE BANK ANGLE I USED DURING MY L HAND CIRCLING APCH. THE ENTIRE PROC WAS IN COMPLIANCE WITH ATC PROCS AND ANNOUNCED TO FSS PRIOR TO EXECUTING THE PROC AFTER WHICH I WAS GIVEN A CURRENT WIND CHK. THE CIRCLING PROC WAS EXECUTED TO AVOID THE STEEP BANKING MANEUVER THAT WOULD HAVE BEEN NECESSARY IN ORDER TO LAND ON THE INITIALLY INTENDED RWY 27. THE L HAND CIRCLE TO LAND WAS EXECUTED SAFELY AND WITHOUT INCIDENT AND IN COMPLIANCE WITH ALL FARS. I FEEL THE FAA EXAMINER'S INQUIRY WAS UNJUST AND UNNECESSARY. AT THIS WRITING I HAVE NOT BEEN CHARGED WITH A VIOLATION AND HAVE NOT BEEN LED TO BELIEVE THAT I WILL BE.