No you cannot without breaking Texas law. I plan to be in town on election day, but I don't want to risk (again) of losing my ability to get to voting booth.
"- May be required to work during the time polls are open on Election Day".
That would cover folks whose jobs are highly likely to (literally) explode, firemen, EMS, Police, and the like. See the Virginia Absentee Ballot requirements Here and West Virginia Absentee Ballot requirements Here.
Again, I would eliminate the "Early Voting" period.