I've managed heights up to and regularly over 200' with a bigshot, but I use a slightly different technique than Richard. I prefer hand pull rather than trigger release shots, because in side-by-side tests we've seen that the triggers steal energy from the shot. The archery trigger Richard is using is the best kind, but you just don't get the same height as with a hand pull, and I'm not clear on why that is.
Pole length IMO is a crucial factor. 8' pole has great control but won't get you much above 150-160'. 12' will get you WAY up there but with almost no control. A 10' pole works best for me.
Shot weight is also important. If you put a heavy bag in there you won't get the height (same as a hand toss,) but we have have actually seen that too light a bag can cause you to lose height as the bag apparently does not have enough momentum to pull the line up. We've found the a 10oz will go higher than either an 8 or a 12, if you control for other factors. Haven't tried a 9 yet, though I'd like to.
An open reel spooled with 30lb fireline will complete the kit, and don't forget to spool it all the way to the lip of the reel. If you have to cut length off the line, you'll notice that the lip of the reel steals height.
The big shot is a great tool which is capable of far more than most people realize. That said, I've been seeing some folks able to get 250' or more with home-made air launchers. I reckon it's just a matter of time before crossbows are obsolete in the woods, and I'm already saying 'good riddance.'