Not to be a downer, but it takes something like 8 weeks for the documentation for the LD to be submitted and approved by CB or ACT (went through this with one of my kids). So if the OP’s kid didn’t have extended time and wants it now, the earliest the OP’s kid could take the test would be March. That is too late for Texas State.
Also, a kid with a LD cannot expect a different “line in the sand” if a school has such a line for SAT/ACT scores. The line is the line. The adjustment is supposed to be at the test level, not at admissions. The school has a responsibility to give accommodations as per their documented disability through formal channels, but that doesn’t include randomly shifting grade and test score requirements.For instance, let’s say the school’s requirement for a scholarship is a 2.5 GPA. Having a LD doesn’t’ exempt you from that requirement. Where your adjustment is is in the classroom through extended time etc. The grade is the grade.
Sorry about Texas State in this case - it stinks - but I totally agree there are many wonderful options out there, including test optional schools. Keep on going, you can do this!