Here's how I would do it:
Big Ten Conference
Code:
ARIZONA
CALIFORNIA
COLORADO
ILLINOIS
INDIANA
IOWA
KANSAS
MARYLAND
MICHIGAN
MICHIGAN ST
MINNESOTA
NEBRASKA
NORTHWESTERN
OHIO ST
OREGON
PENN ST
PURDUE
RUTGERS
STANFORD
UCLA
USC
UTAH
WASHINGTON
WISCONSIN
Southeastern Conference
Code:
ALABAMA
ARKANSAS
AUBURN
CLEMSON
FLORIDA
FLORIDA ST
GEORGIA
GEORGIA TECH
KENTUCKY
LOUISVILLE
LSU
MISSISSIPPI ST
MISSOURI
NC ST
OKLAHOMA
OKLAHOMA ST
OLE MISS
SOUTH CAROLINA
TENNESSEE
TEXAS
TEXAS A&M
TEXAS TECH
VANDERBILT
VIRGINIA TECH
Big 24 Conference
Code:
ARIZONA ST
BAYLOR
BOSTON COLLEGE
UCF
CINCINNATI
COLORADO ST
CONNECTICUT
DUKE
HOUSTON
IOWA ST
KANSAS ST
MIAMI-FL
NORTH CAROLINA
OREGON ST
PITTSBURGH
SAN DIEGO ST
SOUTH FLORIDA
SYRACUSE
TCU
TEMPLE
VIRGINIA
WAKE FOREST
WASHINGTON ST
WEST VIRGINIA
AAC: Arkansas State, Louisiana Tech, North Texas, Rice, Southern Miss, SMU, Texas State, Tulane, Tulsa, UTSA, Wichita State (non-FB)
CUSA: Appalachian State, Charlotte, FAU, FIU, Georgia Southern, James Madison, Marshall, Middle Tennessee, Old Dominion, Western Kentucky, UAB
MAC: Akron, Ball State, Bowling Green, Buffalo, Central Michigan, Eastern Michigan, Kent State, Miami-OH, Northern Illinois, Ohio, Toledo, Western Michigan
MWC: Air Force, Fresno State, Hawaii (FB-only), Nevada, New Mexico, San Jose State, UNLV, Utah State, UTEP, Wyoming
SBC: Chattanooga, Coastal Carolina, Eastern Kentucky, Georgia State, Little Rock (non-FB), ULL, ULM, South Alabama, Troy, UTA (non-FB)
IND: Army, BYU, Boise State, East Carolina, Liberty, Massachusetts, Navy, New Mexico State, Notre Dame (Big East takes them back)
Why: I think Notre Dame would, ironically, be able to have a full independent schedule with the diminution of major conferences, as teams in the first three would still want to schedule them (e.g. Purdue, Michigan State, USC, etc..). ND would have games against BYU, Army and Navy to fill out their schedule. A Notre Dame schedule under this scenario would have the likes of Texas, Michigan State, Navy, USC, one of Pitt, Miami, Boston College, LSU or Stanford, plus any of BYU or Army. Then another season they'd have Michigan, Florida State, UNC, Syracuse, TCU and either Purdue or Michigan State, plus Navy and USC. They could create their own bowl for whoever is left out of the "Big Three" in-conference playoffs. I think this would entice the likes of BYU, Boise State and East Carolina to do their own bowl deals.
As for the "Big Three" you have four divisions of six teams, 8-game regular season, one exhibition game against a body bag before the season. Division winners automatically go to playoffs, with the best four from the other conferences or independents filling up the remaining spots.