Wouldn’t it be cool if the Avengers HQ was an actual University Campus? Accompanied by dorms that looked the Xavier Mansion? Both locales are places I’d love to visit in real life; but as tourist traps there wouldn’t be much to them (save for the basement in the X-mansion), so it would be more worthwhile if they served as institutions of learning.
It’s just a dream right now, but I could envision several tech companies like Apple, Google, and Facebook coming together to build such a school. I would only stipulate they build it in upstate New York to keep things authentic. Maybe Fox and Disney can also chip in, as such a place would allow them to film on location.
In the vein of Tony Stark this could be a technical institute, however I’d be happy with any specialty like medicine or science. Law school wouldn’t work — this isn’t a breeding ground for villains, haha.