SVFR CLRNC BUT FLYING IN BELOW MINIMUM CONDITIONS.

Narrative

I WAS JUST COMING BACK ON A XCOUNTRY WITH ONE OF MY STUDENTS. WE WERE ABOUT 15 MI OUT OF DODGE CITY WHEN WE NOTICED A LAYER OF SCATTERED CLOUDS AROUND 800 FT AGL. THE FORECAST WAS FOR CLR SKIES ALL DAY. I DECIDED TO CALL FLT SVC AND ASK WHAT THE CURRENT CONDITIONS AT DODGE WERE. THEY REPLIED 300 FT CEILING AND 3 MI. I THEN TOLD FLT SVC I WOULD CALL BACK TO GET A SVFR CLRNC WHEN I GOT A LITTLE CLOSER. WE GOT ABOUT 7 MI OUT OF DODGE. I CALLED FLT SVC BACK AND RECEIVED MY SVFR CLRNC. WE PROCEEDED ON TO DODGE. AROUND 3 MI FROM DODGE WE WERE HAVING TO FLY AROUND 250 FT AGL TO AVOID THE CLOUDS. AS WE APCHED A LANDMARK THAT I WAS FAMILIAR WITH; WHICH WAS ABOUT A MI FROM THE ARPT; I NOTICED THAT THE VISIBILITY AT THIS POINT WAS UNDER A MI. WE PROCEEDED ALONG A ROAD TO THE ARPT; LANDED AND CANCELLED THE CLRNC. I THINK THAT THIS SIT COULD HAVE BEEN AVOIDED IF I HAD NOT HAVE HAD THE 'I NEED TO GET BACK' ATTITUDE. INSTEAD; WE COULD HAVE JUST LANDED AT ANOTHER ARPT THAT WAS ONLY ABOUT 10 MI FROM DODGE AND HAD SOMEONE COME PICK US UP.