Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Detroit to Lansing as you normally would.
The most flights from DTT to LAN are scheduled on a Thursday (8 on average). You will have fewer flight options on Monday, which is when the least amount of flights are scheduled (3 on average).
In terms of precipitation, rainfall in Lansing ranges from 1.5 - 3.5 inches per month. June is typically the wettest month, when rainfall can reach 3.5 in. February is typically the driest time to visit Lansing when rainfall is around 1.5 in.
If weather is an important factor for your trip to Lansing, 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 23.0 F).