IMO, it's not about getting a "big" name, it's about getting a great coach (in all areas: recruiting, player development, x's and o's, and post-season success). They come out of a box like that, right?
Contrary to some Texas fans' clueless outlooks, schools like Louisville, Miss. State, South Carolina, Notre Dame, etc. are not going to be outbid by Texas for their head coaches; thanks to equal revenue sharing, teams from P5 schools have plenty of money to retain any head coach in any sport. The exception is the PAC 12, who is struggling financially. IMO, if Texas is looking to replace Aston, the next head coach will come from the PAC 12 as not many will be able (or willing) to match Texas' offer (which one would imagine is gonna have to be greater than $1.25 million to poach someone with a proven track record).
Adia Barnes is my top candidate; but, she is a UofA alum; and, her husband is an assistant on her staff; Texas may have a nepotism clause in place (not sure).
Cori Close is a great recruiter; not sure she's best at x's and o's. Some feel she is too similar to Karen Aston. She is a California native, I believe; graduate from UCSB.
The Oregon and Oregon State head coaches aren't realistic, IMO. But, hey, if it comes down to money for them, then either would be a tremendous hire.
I am not a Charli Thorne fan; she pulls off some big wins every now again, but I see newer coaches having more success in shorter amounts of time, and simply leaving ASU behind.