I made a test with SMF and downloaded a mod of advertisements, it lets you put an ad in many places of the forum.
Pretty easy to use but the best would be you code the ads yourself.

I think it's possible to put ads in any kind of forum, only if you know where to put the code. If this is not correct, please tell me because I am also interested in looking for the best forum software where I can also add Google AdSense.