custom member fields

I am having some trouble trying to figure something out.

I would like to allow any member of a specific member group, the ability to fill out a custom form, that once submitted, is then displayed within the site somewhere. However, the member can only submit it once, and they need to categorize the entry. (pre-defined categories) They can never have more than one entry, but they can always go back and update the current one.. It’s kind of like a glorified user profile. BUT, I also need to allow one image upload as well, per user. (outside of profile pic)

I thought that maybe I could make use of custom member fields, but an image upload and the ability to categorize their entry eludes me.

I thought that maybe I can just use channel forms, however, the ability to limit the entry to just that member and no more, is hard for me to figure out.

Any idea how to pull this off?

I do have EE Harbor’s “User” and FreeForm Pro (Solspace)

Thanks