Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Panama to Madison as you normally would.
In terms of precipitation, rainfall in Madison ranges from 1.2 - 4.5 inches per month. June is typically the wettest month, when rainfall can reach 4.5 in. January is typically the driest time to visit Madison when rainfall is around 1.2 in.
If weather is an important factor for your trip to Madison, use this chart to help with planning. For those seeking warmer temperatures, July is the ideal time of year to visit, when temperatures reach an average of 71.6 F. Travelers looking to avoid the cold should look outside of January, when temperatures are typically at their lowest (around 19.4 F).