Yes does your server support dropbox for custom maps? if so thats the easiest. also. when making a custom map. make sure to change the name to somthing like you already have, but make a slight change to it. so lets say make it procedualmap.400.123.204.mapp < add that extra "p" on the end, cause when players go to join, it will automatically download the map into the rust files. if its named the same, and they have already played that map for instance they will get an error while connecting.
so bare that in mind.
once you place it in rust edit. make sure to add the textures etc that comes with the map file within rust edit. (this will automatically place the ground textures and heights i pre set for the themepark)
save it. put it in your dropbox. or if your running the server from a home based server i'd assume you will have to put it else where. i've only ever used the drop box method. so some googling will be required.