The map you see on your itinerary is generated by the addresses of your Places that will appear on your Trip Overview Map. If you want to remove it, here is how!
1. Go to the Trip Settings
You can get there within an itinerary by clicking on the name of the trip, or the Settings button in the top left.
2. Disable the Trip Overview Map
Within the trip settings you will select the Disabled option on the Overview Map!
3. Save Changes
Save the changes you've made on your trip settings, and you're good to go!