Welcome! I found this WikiHow tutorial on uploading Minecraft maps to the 360. All you need for it to work is a computer and a USB flash drive (which the article refers to as a pen drive).
Try removing all of your mods from the mods folder and running Forge on its own to see if any of the mods might have been causing the crash. If it still crashes with an empty folder, I would try installing Forge again and ensuring that you pick the recommended build instead of the latest one.