that is a good idea and your best source of information.
I just checked the list and SkyWest is on there. Domestic and Intl. Cabin only of course.
the flights, IAH to BZE are all open next week. Two flights per day and sometimes three. I don't think you will have a problem.
Get into IAH early, go to a Customer service desk and tell them you want to jumpseat, etc. they can list and check you in.
When the flight at the gate opens for business, check with gate agent and make sure you are ready to go. Passport etc.
Good luck!