I don't see any coaches with ties to Miller / UA taking the ASU job. Archie was NEVER going to do it, and I don't think any of the others mentioned would want it or would want to go up against Sean Miller in recruiting.
I think Lavin would be able to do the best job in recruiting to ASU and I think he should get the job.
Capel, I think, will be the one ASU hires. Good luck with that. Nine years as a head coach, with 3 NCAA appearances ( one elite 8 ). Overall record of 175-110 (averaging 19-12 ) isn't that impressive. A little bit better than Herb (155-133 at ASU, with 2 NCAAs and 4 NITs) Sean Miller is 163-52 at UA and 283-99 overall.
Pastner is a no-go. He may only have one more year at Memphis before he gets fired, but he is definitely looking to go to a better program than ASU.