When people go to an event where they might be able to ask questions of a Muslim, what is the best way to ask?

I recommend a specific technique. Do not ask about the Koran. Do not ask about Islam, instead ask about Mohammed. State some idea from the Sunna (what Mohammed did or said) and then ask the Muslim a question about obeying that Sunna. Your goal is to educate the audience.

Here is an example: The Sunna of Mohammed includes wife beating, as does the Sharia. Do you agree that wife-beating is a good practice?
You will never get a straight answer, but the audience learns about Mohammed and Islamic doctrine from your question.