Federal financial aid can be at risk with a drug related conviction--this includes class c misdemeanors. I would suggest hiring an attorney to help you get it dismissed, so there won't be a conviction for the drug paraphernalia.
Yes it will show up and it will show up as a class C misdemeanor--which is the same category of offense. But as pointed out by Mr. Hamer, if a question asks if you have been arrested, charged, or convicted of anything other than a traffic offense, you will have to tell them, "yes."
I agree with Ms. Jaggers, but would add that it may be possible to get that information via subpoena at an ALR (automatic license revocation) hearing. This does not apply in your specific circumstance, since the subpoena would have to have been issued during the 15 day window available to request a hearing, and assuming that the results were available by the time of your hearing, but is one way to accomplish your goal. Regardless, you will want an attorney who has done this before to represent...
While it may be true that any attorney may be a "criminal defense" attorney, your question asks how can you know if it is not on their web site? In response I would say that if the attorney is not openly presenting themselves as a criminal defense attorney, they may not focusing on that area of law in their practice. What area(s) of law ARE they representing that they practice in? If it is Real Estate transactions, for example, then while they CAN represent a criminal defendant, their focus...
You can be and will likely be arrested on the spot. If you had a payment plan and defaulted, and a warrant was issued, then you would be the proud recipient of a Capias--warrant issued by the prosecutor. If you walk in without having addressed them first, Expect that they will arrest you at that point.
It will be better to disclose than to try to come back later to try to explain why you think Texas should consider a DUI as a moving violation. Then you can do it on your terms. Especially since you have not been convicted (and ultimately may not).
A defensive driving course is not what I would recommend for you. What you should do first is contact an attorney and do so within 15 days to give your attorney enough time to request an ALR hearing to help you avoid having your license suspended. They will be able to help you from there.
I would not attempt to do this on your own. You will never be able to do as well as you can with a defense attorney to help you. Your attorney can attempt to put you in a position to avoid a conviction on your record. If you attempt to do this yourself, the prosecutor will likely not be as generous.