Over the past 30+ years I've photographed a lot of live music and also some stage shows. Initially I usewd HP5 but once XP1 was released switched, later using XP2.
XP2 push processes extremely well in C41 chemistry and unlike HP5 or Tri-X the contrast isn't boosted. Ilford dropped the push processing recommedations when they switched from XP1 to XP2, the reason was that XP1 needed a modified C41 colour devevepment time for normal processing and commercial labs didn't like this or the push process times, XP2 was designed to be process for the normal C41 times and no mention was made of it's ability to be push processed.
Usually I pushed XP1 & XP2 to 1600 EI shooting with a Vivitar S1 70-210 f2.8/f4 zoom mostly at around 70-135max and one stop off the maximum aperture.
Just to show how XP1 push processed
It's amazing what C41 chemistry does to a B&W film, but the hand colouring did help