A PA24 PLT DEPARTED SOW RWY 21 WITH A DENSITY ALT OF 7800 FT BARELY CLRED A NEARBY TOWN. RWY 24'S 7000 FT TKOF DISTANCE SHOULD HAVE BEEN USED.

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I WAS FLYING TO MESA; AZ; AND OBSERVED WX WHICH WAS AT 50 MI N OF MY LINE OF FLT. I ELECTED TO LAND AT SOW TO CHK WITH FLT SVC AND REFUEL THE PLANE. RWY 21 AND RWY 24 INTERSECT AT THE DEP END OF BOTH RWYS. I CALLED ON THE UNICOM FREQ 123.0 FOR ADVISORY BUT GOT NO RESPONSE. I BROADCAST IN THE BLIND THAT I WAS MAKING A STRAIGHT IN LNDG ON RWY 24. I ENCOUNTER A GREAT DEAL OF TURB DURING THE APCH AND IT WAS VERY DIFFICULT FOR ME TO LAND ON RWY 24 BECAUSE OF THE TURB AND XWIND. I SHOULD HAVE LANDED ON RWY 21 WHICH WOULD HAVE BEEN MORE INTO THE WIND. AFTER TALKING TO FLT SVC AND FUELING AT SHOW LOW; I TAXIED TO RWY 21; DID A RUN UP; LEANED THE ENG FOR ALT AND DEPARTED ON RWY 21; 3937 FT. DENSITY ALT AT THE TIME WAS AT 7800 FT. I ROTATED ABOUT HALF WAY DOWN THE RWY. THE PLANE BEGAN TO CLB VERY SLOWLY; MUCH MORE SLOWLY THAN I EVER COULD IMAGINE. THE TOWN OF SHOW LOW WAS IN FRONT OF ME; I WAS ONLY ABOUT 300 FT AGL AND THE TERRAIN BEYOND THE TOWN AND TO MY L WAS RISING. SINCE BOTH RWYS 21 AND 24 BEGIN AT THE SAME PLACE; I KNEW THAT THERE WAS NO PLANE ON THE RWY TO OR IN POS TO TAKE OFF ON RWY 24. I MADE A R TURN TO LOWER TERRAIN WITHOUT ANY RADIO BROADCAST; WATCHED FOR ANY TFC; AND WAS ABLE TO FLY THE PLANE TO THE N AND CLB. IF I HAD ALL OF THIS TO DO OVER; I WOULD NOT HAVE REFUELED THE PLANE WHICH HAD 3 HRS OF FUEL AFTER LNDG AT SOW. I WOULD HAVE ELECTED TO USE RWY 24; 7000 FT FOR TKOF.