Among the failed potential Messiah's was Bar Kochba who was backed by Rabbi Akiva.
What do we know about him? Was he a disciple of Beit Hillel or Beit Shamai or someone else for example?
The most extensive discussion of Bar Kochba in Chazal is in Eicha Rabbasi 2:4.
He is also mentioned in Sanhedrin 93b
Your specific question - was he a disciple of Beit Hillel or Beit Shamai - is not dealt with in those sources, though I believe that those academies no longer existed at the time of the rebellion.