Yes, I think you do get to bigger bowl games by "taking a nap." At the end of the day, the record is the only thing that matters - SoS be darned. The sad fact is that the BCS basically comes down to the polls, and pollsters have a tendency to go for gaudy records over substance - they just can't look past that 10-1 record even if 3 of the wins are over complete creampuffs.
Better bowls = good for the program, since that's the pinnacle of achievement for a college team. Which program gets more notoriety: the one who schedules tougher opponents and gets relegated to 2nd tier bowls, or the one with an easy schedule and perenially makes it to Big Bowl X? In a perverse twist of Al Davis (if that were possible), the mantra is "just rack up the wins, baby." It keeps the donors happy, the stadiums full, and the bowl invitations rolling - and there is a symbiotic relationship between all three of those, too. Full stadiums lead to better bowl invitations due to better fanbases. Bowl invites lead to more, higher paying donors. Higher paying donors lead to better facilities, which make for a better game-day experience, which fills the stadiums. Etc, etc. It's a massive snowball, chugging forward, and the only things that can derail it are Ls - they must be avoided at all cost.