No such law..pmcdn wrote: While it is illegal to be drinking and carrying for a CHL,.

If you meant it is illegal to be under the influence and intoxicated that would be true...
The pertinent section of the Texas Penal Code is PC §49; the definition of "intoxicated" is in PC §49.01(2):
"Intoxicated" means: (A) not having the normal use of mental or physical faculties by reason of the introduction of alcohol, a controlled substance, a drug, a dangerous drug, a combination of two or more of those substances, or any other substance into the body;