SMA PLT LANDED AT AN ARPT CLOSED TO TRANSIENT ACFT BECAUSE OF RWY CONSTRUCTION.

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ON MAY/WED/03; I WAS FLYING AROUND PUGET SOUND OF SEATTLE AREA AND AT THE LAST MIN DECIDED TO LAND AT FRIDAY HARBOR; WA. I HAD FLT FOLLOWING WITH NAVY WHIDBEY ISLAND UNTIL CHANGING FREQS TO FRIDAY HARBOR. UPON CONTACT; FRIDAY HARBOR POINTED OUT OTHER TFC IN THE AREA AND SAID I COULD LAND EITHER N OR S -- MY CHOICE -- SO I TOOK THE STRAIGHT-IN TO THE N. UPON LNDG; I WAS TOLD THE FIELD WAS CLOSED TO TRANSIENT TFC DUE TO MAIN RWY WORK AND LNDGS WERE BEING CONDUCTED ON THE TXWY. SINCE EXITS WERE BLOCKED; I TOOK OFF TO THE S AND RETURNED TO LAND TO THE S ON THE TXWY. NEVER DID THE TWR MANNED BY A SUBSTITUTE OPERATOR MENTION THE CLOSURE OR ASK IF I KNEW ABOUT IT. INSTEAD; SHE CONTINUED TO TALK ME DOWN AS IF NOTHING WAS AMISS. LIKEWISE; NEITHER DID NAVY WHIDBEY. NEITHER WAS THERE AN 'X' ON THE RWY; BUT A VERT ONE ON THE END OF THE RWY WHICH I TOOK FOR A PROB WITH THE OVERRUN. THIS IS MY FIRST OCCURRENCE IN 29 COMMERCIAL FLYING AND 8 YRS MIL FOR THIS TO HAPPEN. ONE QUESTION FROM THE TWR WOULD HAVE MADE CLR THE PROB AND PREVENTED MY LNDG.