Sounds like wraparound properties - check that out in the help
Wraparound lets me add text beside and around the image, but not above.
isn't there a "none" setting?
There's Run Around Contour, Run Around Bounding Box, Don't Run Around, and As Is, none of which let me add text before the image.
Select the frame. Look at Special > Anchored Frame > Anchoring Position
Typically, it needs to be Below Current Line, or
Run into Paragraph, Alignment [ Right ]
The text you type for "Below..." need to be before the frame anchor symbol, otherwise it will flow below the frame. You'll need to have
View [*] Text Symbols
on to see the anchor.