Route mapping tool - INSERTING a point
You could use ridewithgps to build your map. It allows you to drag waypoints off the main route and re-routes (can be used without auto routing as well if you prefer).  You'll have to pay if you want to print from their site.  However, you can print a cue sheet free or export the saved map in GPX or TCX format to print with another application or website that accepts these uploads.