DO NOT plead no contest. no contest is the same as guilty, except nobody can use your case against you in civil court. pleading no contest or guilty will mean admission of wrongdoing.
if you believe that you have a solid case and the traffic judge is lenient, then plead not guilty. then you set another court date where you and the officer both present your case to the judge. then he makes his ruling. at least that's how we do it in cali. here, speed contest is a 2 point offense plus 1000+ in fines.
i just went to court last week for a speed contest ticket. of course, i plead not guilty. long story short, i was in a merging lane and trying to pass, the 5.0 mustang was trying to box me out, and cop pulled us both over for street racing. i was doing approx 45 in a 40. that's total bullshit.
edit: the above stuff is for the speed contest. concerning the speeding, i don't know how you would argue that. you can question the accuracy of the estimated speed, ie how did he come to the conclusion you were going 60? did he use radar or pace or guess? if radar, then you're screwed. not sure if the same applies for tx, but here in ca if the cop doesn't show up to the hearing, the defendant *usually* wins. so my advice: plead not guilty, and hope the cop doesn't show up.