Going into tomorrow, we can expect some fluctuating strength storms to move east into the Appalachians. These storms will not have a big severe weather threat.
There will be some showers in the Plains and into the Rockies. It is possible the Rockies could experience some snow showers.
As we progress farther into the week, a weak disturbance will provide some rain in the southern portions in the affected areas, such as North IL and into Iowa. However, In South Wisconsin, there is potential for that to be mixed with freezing rain or snow.
In the way of storms, there is some potential for severe storms in Iowa judging by composite radar reflectivity. However, no outbreaks are expected. The main threat, should there be severe storms, would be heavy rain. CAPE values are not high enough to prompt any concern.
That piece of storms would then move in to the WI/IL border. Then another section of precipitation would develop, more abundant than the first and assisted by a band of precip coming from Canada through the Plains and Rockies. Should there be a severe threat, it would be heavy rains again.
That said, there is a bit of concern for flooding in the Iowa area.