Rendering intent in ID is built into the document. Normally, you set the default intent to Relative Colorimetric or Perceptual, but you can override it on an image by image basis. So, if most of your images look good using Relative Colorimetric, you can set that as a default, then you can override the default and use Perceptual for those images that look better using Perceptual. When printing, each individual image will be rendered using the intent attached to that image.
That is why you don't have a single rendering intent in the print menu.