Why would you have to sleep on the floor if you miss your flight due to Continental causing the problem? Don't they put you up for the night?
I've never missed the flight either out or back (with only the one hour to change flights) but I guess I've just been lucky.
A couple of years ago the carousel wasn't working and caused quite a backup. That was a bit nerve-wracking but they held the plane for an extra 20 minutes and that made all the difference. Also, I almost cried when I finally made it through the security lineup, only to get held up further due to my barrettes setting off the beeper. I was pretty sweaty by the time I made it to my outgoing gate. (not to mention my mild heartattack doing the run with my carry-on)
Another place in the Caribbean that I visit, only has flights out of Houston on Saturdays. The connection time for those flights is also only one hour. Regardless, Continental always tries to assure me that is enough time. However, I still leave for Houston on the Friday and stay overnight because if I miss the flight for the last leg, I'm hooped for a week.
On the way home, I don't worry about it because if I miss my connection from Houston to home, it is no big deal to get a flight out the next morning.