It's my general experience that a bit of backspin (25-50%) will "usually" yield the optimum combination of carry and roll. Lots of variables to consider though - wind, elevation, landing area contours, and overall spin built into the ball to begin with. I generally use about 25-30% backspin if I'm using a 4 spin ball, but will add a little extra if I'm using say a 2 spin ball. I can't really think of a situation where I would ever use more than 25% topspin with a driver.
Full backspin will yield most carry if you have a bunker to carry or need the the extra spin to stop the ball from running through a dogleg, or if you have a strong tailwind. A little topspin can help if you are into a strong headwind and have a fairly flat or slight downhill landing area where the ball can run out a bit. No one solution works for every situation.
Also consider that 2 players may be using different apparel attributes that can greatly effect driver distance. I've played a lot of coin rooms where I routinely get outdriven by 10-15yds by players with "inferior" driver/ball combos simply because they are wearing the SE apparel and I generally don't use any distance-boosting apparel.
Web connection would have almost nothing to do with it, unless it is so choppy that you are consistently missing the ding by a wide margin.