That doesn't sound like it was seizing then Jason. More likely overheating (perhaps due to obstructed cooling air flow) or an engine fault, which could be for example, insufficient tappet clearance, fuel vaporising in the hose from the tank to the carburetor, high temperature breakdown of the ignition module, or restricted flow through a gummy main jet. If it wasn't seizing, chances are no additional harm has been done by you operating it the way you did. What was the day temperature when all this happened?
You can work your way through those items one by one. Is the fuel hose from the tank to the carburetor running downhill the whole way? You could try disconnecting the fuel hose at the carburetor end and running fuel into a cup, to see whether it runs full stream, or the flow is restricted.
To check the ignition module, there are two things you could try. First, when it cuts out, immediately clamp a known good spark plug to the engine with the plug lead connected to it, and crank the engine, watching for a steady stream of blue sparks across the plug gap. If you don't get them, leave the spark test set up, let it cool off, and try it again. The second test you could do on the ignition module is to measure the primary and secondary resistances, with a volt-ohm-meter. However this may not show anything unless the module is misbehaving at the time you do it.
The tappet clearances should be checked, as described in the owner manual. If you want more information on that, just ask.
After those tests, the next step would be to remove the carburetor and clean it with carb cleaner. I can help you through that if you wish.
Last edited by grumpy; 10/01/13 05:28 AM. Reason: Add detail