If you are planning a flight to Indianapolis and are looking to avoid the rain, you should avoid traveling during the month of May. This month will typically see 5.1 inches or more of rain, meaning that rain is likely. If you do run into rain while in Indianapolis, there are still things to do and ways to enjoy your trip. Children's Museum of Indianapolis is a great museum to visit near Indianapolis and is especially great when the weather outside is less than desirable. For those looking to get out of the rain and do a little shopping, check out Circle Center Mall.