Have you tried just a regular Ubuntu 16.04 image?  According to this Ubuntu page, the 9370 is fully supported out of the box with that release, no need for special drivers or anything else that would come in a Dell image.  The Dell image would probably also wipe out your Windows installation even if it existed, whereas a vanilla Ubuntu installer will detect a Windows installation and offer to let you keep it.
I got the Windows edition of the Dell XPS 13 9370. Want to install Windows *AND* Linux in dual boot. However, it seems impossible to download the image from the dell support website. Depending on what you pick it either does download a broken much too small ISO (50kb or something), or does not download anything at all. Im not the only one with this problem either: [URL] I also tried to install debian with an unofficial image for the dell xps 9360 (there is none for the 9370, but they mostly have very similar hardware, or at least can have) but it fails to load the wifi drivers. Arch volks seem to have figured out how to run their thing on the 9370. Maybe i can take the drivers they use to install other linux distros, or maybe ill just try arch for the first time ever. Kind of expected things to "just work" at least with ubuntu. Guess i was mistaken with that assumtion.
XPS 13 9370, Ubuntu Full Image or Driver Download