Coverage suggestions for non-bra wearer

Copy/pasted from previous post(:

I don't wear a bra, at all, unless *absolutely* necessary. By that I mean a time where I am uncertain of my bra-less nature being accepted that could lead to something negative (e.g., job interview). If I have to, I will wear a bralette strictly for nipple coverage. I have a smaller bust (36B/34C), and wearing a bra or anything tight will cause me a massive amount of back pain and for my ribs to dislocate. I am a doctoral student expected to work with kids in the upcoming months, and as I get my professional wardrobe started, I am finding issues with coverage for specific items. I have two double-lined tank tops that will work, but I wanted to see if anyone had other suggestions.

Requirements:

Cannot do sticky covers due to skin-tearing issues

Nothing with a tight strap on shoulders or around back (no built-in bra with cami, for example; no compression)

Good nipple coverage

Full or partial length okay

EDIT: Yes, I have EDS