Check with the court clerk. Since the paper you signed said "on or before" should be able to request the clerk to advance the case. Just paying it via on line or by mail is probably not sufficient - have to show proof of the change of address. You cloud also have a local traffic ticket attorney appear for you.
This is not intended to be legal advise or as legal representation. I am a California personal injury attorney . Be aware that every state has its own statute of limitations; and statutes & case laws that govern the handling of these matters.
Some courts only dismiss cases when there is a prosecutor actually there during court. Most courts in Montgomery County only have prosecutors available on certain days of the month. However, if it is Conroe Municipality, that prosecutor is usually there every day of the week. It is always better to get a traffic ticket dismissed rather than pay the ticket because the conviction can affect your license. For traffic offenses, an attorney can appear on your behalf and you do not need to be there. If you cannot appear, my advice is to hire an attorney to take care of it for you.