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Hi I'm Brian and I'll be happy to help with this.
It would be very odd for a pri***** *****mit to trip and cause this, especially since when a limit trips, the fan should run non-stop until it resets.
I would suspect something more like a drain pan or drain line overflow shutoff switch. Look in the drain line of your furnace for a device installed in the condensate drain line that has two wires coming out of it. Let me know if you find one. If you can snap a picture of your installation and upload it here using the "Attach Files" button next to the send button in your reply dialog window, I may be able to give more specific advice.
Were you still looking for help with your furnace issue?
Very good, thanks!