You absolutely have the right to a jury trial for resisting arrest. You have the right to a jury trial for a speeding ticket. Read the 6th amendment if you doubt this or talk to any credible criminal defense attorney.
As for the breath test, those are horribly inaccurate. There is a documented case of a carpenter blowing a 0.24 per the breath test. The carpenter calls BS since he had nothing to drink that day. He demands a blood test which shows a 0.00. Apparently the fumes he was breathing in at work caused a false reading with the breathalyzer which only tests for certain types of alcohol and extrapolates. Not saying that Ced is a carpenter. Just pointing out the test is far from rock solid.
In Texas, the breathalyzer test can only be done at the station, which means you have already been arrested. It also means the cop already thinks you are guilty. You do not have much to gain by taking the test unless maybe you are in Williamson County, Smith County, or other uber conservative counties. In Travis or Bexar, refuse the breath test. For that matter, if you have been drinking then refuse the field sobriety test as well. Misunderstand one direction from the cop and you are going to jail. In the comforts of my house those tests are one thing. Having traffic and big rigs whizzing by you at 70 mph, at night, on an exit ramp, under the pressure of knowing that if you screw up you are going to jail is a totally different situation.
If you have not been drinking or really have only had just one beer, then demand a blood test and get video evidence of your request. The cops will refuse on the grounds that they can request a breath test or blood test and the breath test costs them less money. The blood test is basically fool proof, at least in the way that DNA tests are fool proof up to the point that evidence gets fabricated. If the cops refuse, then your attorney can go to town with the jury highlighting the issues with the breath test and that you were willing to take the more accurate test.
Besides, the cops will not draw blood at the station. They will require a nurse to draw the blood. This kills more time for either a nurse to go to the station or more likely for you to go to a hospital.
BTW, this Memorial Day Weekend, Bexar County, along with Tarrant and probably other major counties, will have a judge on hand, assuming he does not back down from the public exposure, to sign warrants requiring a blood test with a nurse standing by to draw the blood immediately. If the blood test comes up 0.08 or higher, then there is basically no way to beat that.
To be absolutely clear about my attitudes, do not drink and drive. It's insanely stupid. I frankly don't care that much if you wrap your car around a tree and kill yourself, but your family will. So will the families of anyone else that you hit/ kill.
Also keep in mind that getting caught drinking and driving with a kid in the car is an automatic charge of child endangerment (3rd degree felony) versus a Class B misdemeanor.