That is a virtual certainty, considering you are not charging money.
My advice is to consider splitting the service into two levels (does the Maps API let you make money with it? I guess that is moot since you're already doing it) and selling some portion of the people on the upgrade. It is a rare, rare, rare application that will take in more in donations than it will in payments. One useful feature might be allowing embedding in other people's websites. (Remember, with a freemium application you need to make the -mium something that solves a pain point for people. "I want to offer maps" doesn't strike me as an obvious pain point, but given that people are actually using this, "I want people to not leave my site" does strike me as worth paying for for a business.)
Don't be put off by free competition -- I have scads. They're wonderful people, and they display AdSense ads for people charging for similar things. i.e. you.