ATX PLT MAKES APCH TO NON TWR ARPT USING APCH PROC OTHER THAN COORDINATED WITH ARTCC RADAR CTLR IN CTR. ERROR ADMITTED.

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WHILE ENRTE TO ONEILL; NE; I TUNED IN THE AWOS ON THE FIELD. RECEIVING A RPT OF 500 FT OVCST AND 7 MI VISIBILITY WITH A N WIND AT 10 KTS. THE RWY ORIENTATION IS 13/31 AND THE APCH MINIMUMS TO RWY 13 ARE 389 FT AGL WHILE RWY 31 IS 530 FT AGL. IT WAS APPARENT THAT I WOULD NEED THE DOWNWIND APCH TO LAND DUE TO MINIMUMS. WHEN CTR CALLED AND ASKED WHAT APCH I WOULD LIKE TO PLAN; I IMMEDIATELY SAID VOR TO RWY 31. MY MIND WAS THINKING OF THE DIRECTION OF LNDG APPROPRIATE TO THE WIND; BUT I WAS BRIEFING MYSELF FOR THE APCH NEEDED FOR THE LOWER MINIMUMS. THIS ACFT DID NOT HAVE A CHART CLIP; SO ONCE I HAD BRIEFED THE APCH I HAD STOWED IT ON MY CLIPBOARD ON THE FLOOR. WHEN CTR ASKED THE APCH QUESTION; MY MIND IMMEDIATELY THOUGHT OF THE APPROPRIATE RWY FOR THE WIND; AND SINCE I WAS NOT PHYSICALLY LOOKING AT THE APCH PLATE SHOWING RWY 13; I BLURTED OUT THE WRONG RWY NUMBER. CONSEQUENTLY; I PROCEEDED TO FLY THE VOR 13 APCH WITH NO INCIDENTS AND LANDED RWY 13 IN ONEILL. IT WAS NOT UNTIL I WAS READY TO DEPART AND WAS AGAIN CONSIDERING APPROPRIATE WIND/RWY PAIRING THAT I REALIZED THAT I HAD FLOWN EXACTLY THE APCH I HAD IN MIND BUT HAD REQUESTED A DIFFERENT APCH FROM THE CTR CTLR. I FEEL THERE WERE 2 MAJOR CONTRIBUTING FACTORS: 1) LNDG DOWNWIND IS NOT A NORMAL OP FOR ME AND THEREFORE; I AM USED TO LNDG AND THINKING OF HEADWIND ORIENTED RWY. 2) SINCE I HAD STOWED THE APCH PLATE ALREADY; I DID NOT HAVE THE OPPORTUNITY TO BE VISUALLY REMINDED OF THE APCH AS I WOULD HAVE BEEN IF THE PLATE WAS ON THE YOKE IN FRONT OF ME AS IT USUALLY IS. IN THIS INSTANCE; A SLIP OF THE TONGUE COULD HAVE BEEN CORRECTED HAD I DISPLAYED MORE VIGILANCE IN THE COCKPIT AND CONSTANTLY RECONFIRMED THE INFO I WAS USING.