I think a lot of teams could claim to be seeded 2-9 and how the committee sorts it out will be important.
I would use 3 main starting points.
1. S.C is a lock as the 1 seed
2. Put Stanford and UCONN on the other side of the bracket in their home regions. (Based on being the only teams that seemed to give S.C. a challenge this season as well as being the only top seeds with some recent NCAA tournament pedigree.)
3. Sort the rest out through geography, different conferences facing each other, and based on who won regular season and tournament championships.
I knocked Notre Dame and Duke out of conversation due to the unfortunate luck of the Miles and Mabrey injuries and the effects of the infamous FSU game (using a men's basketball controversy) whose repercussions cost Duke the regular season ACC title and put them on the side of the bracket with the two teams not named UCONN that beat them this year (North Carolina, and Virginia Tech). Coach Lawson did say that could cost them a seed when it happened.
9. LSU (neither won the regular season title nor conference title, blown out by S.C., No wins over top 25 teams, though not having any bad losses is impressive in a season like this). Could bump them down to 10th so they aren't in same bracket as SEC colleague South Carolina)
8. MARYLAND (neither Big 10 regular season or conference champ, blown out by S.C, losses to DePaul and Nebraska, narrow win over UCONN was without Azzi, Nika, and Dorka, though buzzer beating win over Notre Dame was nice and win over Baylor has some merit).
7. IOWA (Big 10 tourney champs, good in conference record, Interconference play not great (Loss to UCONN, Kansas State, N.C. State and only good win was over Iowa State, also questionable loss to Illinois).
6. UCONN (Big east regular season champs + tournament champs?, Competed with S.C. even without Azzi and Caroline, 8-0 with Azzi Fudd that included wins over the top teams in the ACC, Big Ten, Big 12 as well as their "Azziless" win over a top SEC team and domination through the majority of the season, coming off a great track record in NCAA tournament. questionable losses to St. John's and Marquette (both had fallen out of their Top 25 ranking), injury plagued losses to top seeded Notre Dame and Maryland.
5. UTAH (Co PAC 12 Regular Season Champion, good record in a seemingly deep PAC 12 including a win over Stanford and quality interconference win over Oklahoma)
4. VIRGINIA TECH (ACC tourney Champs, Just appear to be playing quality basketball down the stretch though Notre Dame and Duke's misfortunes helped their case while the rest of the conference seems unproven this year in interconference play).
3. INDIANA (Big 10 regular season champs, good record most of year before close losses to Iowa and Ohio State, Good interconference wins over Tennessee, and North Carolina, only bad loss to Michigan State).
2. STANFORD (Co PAC-12 regular season champs, competed with South Carolina, pretty good record in a seemingly deep PAC-12, coming off great track record in NCAA tournament).
1. SOUTH CAROLINA (no need to say more)
Note: While I think that S.C., Stanford and UCONN are the most proven teams I think this draw works overall in terms of geography, playing different conferences and rewarding champions while also perhaps not unfairly threatening South Carolina, Stanford or UConn's title chances).
I guess that is my suggestion, though I am not denying personal biases.