There's now an interview confirming that basically, only Hulk (and Tony) could do it. You have to remember that the Gauntlet is equipped with all six Stones at that point, which is a whole lot to handle. Even Captain Marvel might not have been able too, and she's easily in the top 3 of overpowered people in the MCU.
Sure, that interview only talks about the "final" snap, but it's probably valid for partial actions as well - in the heat of the battlefield, you won't stop to take a Stone off, fire part of a power, reslot the Stone... Sounds like a nice way to lose one, which would jeopardize the overall plan of "in the end, use all six and unsnap".
Q: Why Iron Man has to be the one to do the final snap, couldn’t the people like Thor, Star-Lord or Captain Marvel whom all previously have handled the power of Infinity Stones done it instead?
A: Thor in this movie couldn’t do it, only Hulk was strong enough to do the snap without dying. We are still not sure whether Captain Marvel can also withstand all the power of Infinity Stones at once. The reason we choose to let Iron Man do it in the end was because he was the closest one to Thanos at the time. In all the futures Doctor Strange foresee, Iron Man was the only one who could get close to Thanos and do the snap.
'Avengers: Endgame’ directors just explained some of the movie’s biggest mysteries, BGR, April 30th, 2019