Based on current/future alignments:

These are the power schools who have not made a BCS/NY6 bowl:

ACC: Boston College, Duke, North Carolina St
B1G: Indiana, Minnesota, Northwestern, Rutgers
PAC: Arizona St, California
SEC: Kentucky, Missouri, South Carolina, Vanderbilt
XII: BYU, Texas Tech
IND: (none)

These are the non-power schools who have made a BCS/NY6 bowl:

AAC: Memphis, Tulane
CUSA: (none)
MAC: Northern Illinois, Western Michigan
MWC: Boise St, Hawaii
SBC: (none)
IND: Connecticut

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BCS: National Championship, Fiesta, Orange, Rose, Sugar
NY6: Cotton, Fiesta, Orange, Peach, Rose, Sugar

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Questions

1) Which power school who hadn't made a BCS/NY6 bowl will be the next one off the list above?
2) Which non-power school who hadn't made a BCS/NY6 bowl will be the next one off the list above?
3) Which non-power conference will "dominate" the autobid for non-power conferences?

My Answers

1) South Carolina
2) Appalachian St (or whoever is the 2023 Sun Belt Champion)
3) Sun Belt