What format are you saving images in? DNG RAW or JPG? If JPG, you can auto upload the high resolution images to OneDrive via WiFi. If DNG RAW, the only way to access the hires images is via USB (which yours is broken) or a 3rd Party file manager like Easy Share or Pocket File Manager. East Share allows you to access the phone from a desktop/laptop via web browser. Pocket File Manager (PFM) allows you to transfer files to OneDrive either via WiFi or cellular data. If you use PFM to upload to OneDrive via cellular data, keep in mine, the files are 20MB each for DNG RAW files. OneDrive also allows you to auto upload video via WiFi as well.
Easy share would work best at home inside your home WiFi. While PFM would work anywhere (but you could eat up data quickly). Easy Share also allows you to download directly to your desktop/laptop where as PFM can only upload to cloud storage.