the new texas safety inspection

You should be able to apply for a waiver time extension. There's a lot of information on this related to the emissions testing done in the metropolitan counties and one section specifically addresses the vehicle being out-of-state. However it is a bit confusing because it seems to say the waiver is for a vehicle that has failed the emissions test. I did find another reference in Texas Code section 114.52(d) that seems to imply a waiver can be obtained for either emissions or Inspection/Maintenance.

Your best bet would be to visit the DPS office nearest you. The waiver process can be used or applied for once in every inspection cycle.