The statute that you cite (Section 61.021) refers only to game birds, game animals, fish, marine animals or other aquatic life. Generally speaking, other nongame wildlife is listed in Chapter 67 (nongame and threatened species) and Chapter 68 (nongame endangered species). "Nongame" means those species of vertebrate and invertebrate wildlife indigenous to Texas that are not classified as game animals, game birds, game fish, fur-bearing animals, endangered species, alligators, marine penaeid shrimp, or oysters. The Parks and Wildlife Commission may adopt regulations to allow a person to take, possess, buy, sell, transport, import, export or propagate nongame wildlife. If the Commission does not specifically list an indigenous, nongame species, then the species is considered non-protected nongame wildlife, e.g., coyote, bobcat, mountain lion, cotton-tailed rabbit, etc. A non-protected nongame animal may be hunted on private property with landowner consent by any means, at any time and there is no bag limit or possession limit.
An exotic animal is an animal that is non-indigenous to Texas. Unless the exotic is an endangered species then exotics may be hunted on private property with landowner consent. A hunting license is required. This does not include the dangerous wild animals that have been held in captivity and released for the purpose of hunting, which is commonly referred to as a "canned hunt".
That settles it. So, which caliber do you recommend for Bigfoot?
Link -via io9