I did this for years. I tended to use different chemistries for pushing Tri-X or HP5 to 1600+. Don't remember the details, but didn't tend to use D-76 for pushed film as I recall.
I love shooting BW film but Tri-X looks so newspapery or silver to me - I tend to prefer the newer Kentmere films. I've found you can still push them pretty far and not pay a large price. The film is just so forgiving compared to digital (at least to the best of 2014 sensors)