Wish we had more mixers with tke and KA

I recently joined a fraternity and I was disappointed to find out that we only mix with sorrorities not other fraternities. I know that there are a lot of guys in the top houses like KA,TKE, and sig chi that swing both ways and I was hoping that we could mix with them. Gonna try to reach out to their social chairs there are so many guys in KA and tke that I wish my frat could mix with as they are the top houses on the row. Also I heard there are only white guys in sig chi which is sad. I feel like since KA has more diversity they should be put above sig chi with tke but that's gonna happen anyways.