After hours of digging, I am hesitantly about to try Plane by Makeplane, it's the only one I've found that explicitly advertise itself as a project manager AND wiki, while not looking as entrepreneurial as OpenProject, at first Glance.
As for Obsidian, it fails at being accessible remotely (without extra tools) by nature of being a desktop app, not good when all you have access to is a public computer.
A part of me thinks that maybe I am overreaching and should settle to a simple spreadsheet + wiki system for basic project management.
I remain open for suggestions.