We’re collecting the possible funding schemes which could offer support for future hackathons.
At the moment I’ve found this one http://www.creatifi.eu/open-calls/ - in fact this is a hackathon itself (and one of the entities involved in the project organises hackathons) - the call that would be interesting for us will be open in September, but there is a call that supports polishing the projects and ideas running right now there.
Here you will find a useful document about Edgeryders’ Hackathons.
Second option - Focus, Innovazioni Sociale - requires contacting the foundation and checking how would that work. It’s Italian and I also see it as a possible source of cooperation on unMonastery in the future