Out of the options listed the Duncan Distortion is going to cover the most ground, IMO. It can get really heavy and has a better lead tone than the Invader. Cleans won't be as nice as a '59, but they'll be OK.
Full Shred would be my second choice, but their tone can be a tad dry or crisp (as opposed to smooth or warm or buttery - insert adjective here :laughing7: ). It will bring every finger noise and pick sound you do, so your playing has to be very accurate. It will force you to play better IMO.
I'd pick the Invader for really heavy rhythm playing and smoother leads. Works well with a bright guitar and amp. Can be muddy in some guitars.
I wouldn't consider the Jazz for a bridge pickup, unless you mainly play clean. I tried one in my guitar and didn't like the sound of it with distortion, but other people like it. Sounds amazing clean though.
The '59 is a really good choice as well, though it's not as hot as the other choices. Wouldn't be my choice if I was playing mainly heavy music, but it can do it and is the best all around pickup, of the ones listed.