An online map published by U.S. Customs and Border Protection shows plans for a wall near Big Bend Ranch State Park’s westernmost sections closest to the U.S.-Mexico border.

The Fort Worth Republican, one of the most hardline conservatives in the Texas House, had been floated for secretary of state in unconfirmed media reports ahead of his hire by the governor.

Huffines, a former Republican state senator, is seeking a full term as the state’s top financial officer. He previously primaried Abbott from the right and was among the most conservative lawmakers in ...