Except you still need Monogame, which has to be installed. : - )
Making it run on nuget is a whole heap of problems. First of all, you can’t install templates via Nuget, which is very important. Dunno about you, but I don’t want to manually set up Game1, GameController, resource loading and resources themselves. Second, Pipeline Tool also requires a reference, which can’t be really wired up to nuget, since it’s not a project. Third, Nopipeline also required .targets entry in .csproj, and it has to run before Content Pipeline.
If you know how to solve those issues – cool, let me know, but as I see it, making it an installer is the simpliest way. Monofoxe isn’t just a library which you can optionally install – it’s a whole engine on top of which you build a game. Spending two seconds to install the thing isn’t that difficult, I don’t think you hop onto a new machine every day.