You need to talk to a local civil rights lawyer or to a local civil litigator in general practice who is accustomed to going head-to-head against government agencies. He can tell you how viable your suit is, because just the fact that you got your case dismissed doesn't mean that you were the victim of a wrongful arrest.
The usual stumbling block in such suits is that there must be no probable cause for the arrest. If there's probable cause then you will not make out a necessary element for the cause of action and your complaint will be dismissed.
Probable cause is just a reasonable belief that you may have committed a crime, and it's a very low standard of proof. In general, police do not make arrests unless they have probable cause to do so, though in particular, the police will sometimes violate the civil rights of a defendant.
In your matter, the police had probable cause to get involved with you. You yourself called them to report a different crime. But if they ordered you to step out of your hotel room where you would have been entitled to drink or be drunk and then arrested you for public drunkenness, that would be entrapment, and they would have arrested you without probable cause and in violation of your civil rights.
If your case was completely dismissed and was not an adjudicated dismissal where you had to serve a sentence first to get the matter tossed out, then on the basis of the facts you have given me, it does look as if you were falsely arrested. I'd urge you to seek out counsel as soon as possible as this kind of case in your state has only a two-year shelf life and you have waited almost a full year already to get moving on it.
If you are not sure where to find a lawyer to assist with this locally, try the Texas State Bar Association's Lawyer Referral Service. They charge a fee of around $50 for the referral, but it includes a free half hour consultation with the lawyer.
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