Based on the computer model that I believe will be best for this purpose, here is the cloud forecast for 1pm CDT tomorrow (Monday). Again, the two red lines delineate the zone of totality. The oval is the are where totality will be occurring at 1pm.
This tendency is evident on an average of the last four forecasts (below).
According to the model, there is a lightning hazard showing up: Thunderstorms along several segments of the path.
The national NWS's cloud cover forecast looks like this, which is slightly more favorable in Nebraska.
I will update this forecast. I also urge you to follow me on Twitter @usweatherexpert to get my storm coverage.