PLT OF AN SMT TWIN LOST CTL OF THE ACFT DURING LNDG DUE TO NIL BRAKING ACTION ON AN ICY RWY AND TOO HIGH AND FAST DURING TOUCHDOWN.

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ON IFR FLT PLAN TO LAND AT APA; I WAS GIVEN A STEEP DSCNT PROFILE FROM FL190 TO ILS RWY 35R AT APA. DURING CONTINUAL DSCNT OF UP TO 2000 FPM; I WAS FAST DURING THE FINAL PHASE OF THE APCH. I LANDED LONG AND FOUND THAT THE RWY SURFACE WAS ICY SO THAT BRAKING ONLY LED TO INSTANT SLIDING. THEREFORE; I WAS UNABLE TO USE BRAKES AND ROLLED OFF THE END OF THE RWY ONTO THE SOD; WHICH WAS FROZEN. I WAS NOT ROLLING VERY FAST AND SO MADE A WIDE 180 DEG TURN AND TAXIED BACK ONTO THE RWY AND EXITED AT THE NEAREST TXWY. I RPTED BRAKING TO BE NIL. NO DAMAGE WAS SUSTAINED TO EITHER ACFT OR ARPT FACILITY. I MUST HAVE BEEN THE FIRST LNDG AFTER THE STORM BECAUSE ATC DID NOT MENTION BRAKING. AS A PLT OF A PISTON TWIN; I OFTEN WISH THAT ATC WOULD NOT GIVE SUCH STEEP DSCNT PROFILES BECAUSE OF NECESSARY CARE AND ATTN NEEDED FOR SOME ENGS. FOR MY PART; I COULD HAVE GONE AROUND BUT THAT WOULD HAVE REQUIRED A MISSED APCH AND I ALREADY HAD THE RWY VISUALLY. NO DAMAGE WAS DONE; BUT I OBVIOUSLY WAS NOT IN SPD AND DISTANCE LIMITS; GIVEN THE RWY CONDITIONS.