SMA ON TRAINING FLT HAS PWR LOSS ON TOUCH-AND-GO. ABORTS BUT RUNS OFF RWY.

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I SIGNED OUT THE PLANE FOR SEVERAL HRS. I DID A COMPLETE PREFLT INSPECTION AND CHKED THE LCL WX VIA ATIS; BOTH AT EMT AND BUR. EMT ATIS RPTED CEILING 11000 THIN SCATTERED. 26000 FT BROKEN; VISIBILITY 40; WINDS CALM; BAROMETER 30.14; RWY 19 IN USE. THE TXWY WAS UNDER CONSTRUCTION; NECESSITATING TAXIING TO RWY 19 VIA THE E END OF THE RAMP. I PROCEEDED TO TAXI TO THE RUN-UP AREA; PERFORMED A RUN-UP; WHICH SHOWED ALL SYS NORMAL; THEN TAXIED TO RWY 19 WHERE I WAS CLRED FOR TKOF AND R CLOSED TFC. I PERFORMED 5 SUCCESSFUL TOUCH-AND-GOES; WHICH I HAD DECIDED WOULD BE MORE TIME AND COST-EFFECTIVE THAN FULL STOPS AND TAXI-BACKS DUE TO THE CONSTRUCTION ON THE TXWY; WHICH WOULD HAVE REQUIRED A LENGTHY AND CIRCUITOUS TAXI- BACK. ON THE SIXTH LNDG; I LANDED NORMALLY APPROX 800- 1200 FT DOWN THE RWY; THEN PROCEEDED TO NORMAL TOUCH-AND- GO PROCS. I PUT THE FLAPS UP (0 DEGS); ADDED FULL PWR AND PUT CARB HT TO COLD (IN). I PERFORMED AN ENG XCHK AND OIL TEMP AND PRESSURE WERE GOOD. HOWEVER; THE AIRSPD DID NOT COME UP TO ROTATION SPD (57 KTS) WHEN I PASSED THE GO/NO- GO DECISION POINT (APPROX 1000 FT REMAINING); SO I ABORTED THE TKOF BY PULLING PWR TO IDLE. I BEGAN BRAKING; AT WHICH TIME THE ACFT SWERVED QUICKLY TO THE L AND ONTO NEWLY RESURFACED TARMAC ON THE TXWY. THE ACFT SKIDDED ACROSS THIS SURFACE AND; DESPITE FULL R RUDDER; I WAS UNABLE TO GET THE ACFT TO TURN R. THE ACFT SKIDDED OFF THE S END OF THE TXWY INTO THE GRASS; IMPACTING A FENCE AND COMING TO REST IN A ROADWAY. THERE WERE NO INJURES. I AM UNSURE WHY AIRSPD DID NOT COME UP SUFFICIENTLY SOON TO TKOF. HOWEVER; THE INCIDENT WOULD NOT HAVE OCCURRED HAD THE BRAKES NOT LOCKED/GRABBED UNSYMMETRICALLY ON THE L. ALSO; I BELIEVE THAT THE NEWLY SURFACED TXWY CONTRIBUTED TO THE LENGTH OF THE SKIDDING. I BELIEVE THIS WAS A CONTRIBUTING FACTOR. ALSO; ADDITIONAL TRAINING MAY HAVE GIVEN ME A BETTER IDEA OF THE LENGTH OF RWY REQUIRED TO STOP IN AN ABORTED TKOF; ALTHOUGH I FEEL THAT MY DECISION TO ABORT WAS CORRECT GIVEN THE SIT.