I just looked and you've got one natty 1951 and two runner-ups in 1994/2022 since 1947 which is as far back as the records went that I looked at, which isn't bad but not at Texas' level. I did learn that the PAC used to absolutely dominate baseball from the 50s through the early 80s.
In the last 16 years, the SEC has not been in the final only once and 4 times in that time span both teams in the final were SEC teams. They won 9 of them and one year was called off because of COVID so really 15 years.
That is pretty dominant and the teams include:
LSU
Florida
Ole Miss
Miss State
Vandy
Arkansas
South Carolina
Georgia
If you guys had been in that would have included two more teams plus 2 more appearances.