I'm privy to the 7 week regular season and 7 week postseason with a 128 team bracket where each team plays a full 7 games.
The 128 teams are divided into 16 pools of 8 teams each. A full round robin of 7 games is played within each pool to determine seedings for the postseason. Home and away is randomized each year, however in any 4 year period, two home games and two away games must be played in any pairing. In that respect, schedules would be set up for 4 year periods to ensure this is enforced. This prevents teams from being locked into unfavorable away game match ups every other year.
For the post season, initial seedings are determined by rank within your pool. In the event of ties within pools, points for/against can be used, then yards for/against, then random draw. Teams are distributed by seeding and pool # throughout the bracket so that the top two teams in a pool are on opposite ends, trickling down so that the first rematches would be a rank 1 team against a rank 8 team in the same pool provided they both win.
Losers always drop a bracket while winners stay, so teams with equal postseason records will always play each other, however once a team has 4 postseason losses, they no longer continue to play (so no 0-7 national bottom feeder). This allows for all teams to play a total of 11 games, up to a maximum of 14 as they continue to win. There will be exactly 1 7-0 national champion, two teams with 1 loss, 4 with 2 losses, 8 with three, and the remaining teams with 4 losses and varying numbers of wins. Postseason games are always played at the higher seed's site, however in the event two teams have the same seeding, regular season record is the first tie breaker, with the pool tiebreakers used next to determine the home team. Week 13 and 14 games are always played at a neutral site at traditional bowl locations, preferring regional teams in higher brackets based upon traditional bowl hierarchy. Higher ranked bowls will play the week 14 games with the exception of the undefeated teams in week 13.