Let me save you some time. Just skip this idea.
Contradictory to most IM'ers belief, .edu and .gov links carry no special ranking power. It is a big myth.
The TLD of a page linking to you makes no difference. Years ago it was really hard to get a .edu or .gov backlink. Some sites that had them were ranking really well. As usual in the IM world, people drew the wrong conclusion. They felt that Google gave some special waiting to these links just because of the .edu or .gov. In reality, it was just because the pages the links were on had a lot of authority, no different than a link from a really good .com or .net page.
Today, it is easy to get these links. I can pay some college kid $20 to set me up a blog on his university website. Hell, they would probably do it for $5. I can build all the .edu links I want off of there.
Now if a university wants to give me a link off of their homepage, I'm listening. Any .edu or .gov links you see that are being sold on a large scale should be avoided. They are junk.