That fixed it. Furnace continued to cycle on-off all night long.
I suggest you start with that Sail Switch. Simply remove it, remove any dust or lint hanging on to it, and put it back. See what happens. Costs nothing except a few minutes of your time.
FYI, if your's is an Atwood, look at the motor board and find the red LED light. Remove the outside panel. You will probably need a Robertson screwdriver (one with the square head).
Here's the codes from my manual:
If the red LED light is:
1) off, no light, no flashing, everything is operating normal
2) on Steady, no flashing - Internal Circuit Board Failure
3) one flash every 3 seconds - Limit Switch / Airflow Problems (Sail Switch)
4) 2 flashes with 3 second pause - Flame Sense Fault
5) 3 flashes with 3 second pauses - Ignition Lockout Fault