While it's not a terrible idea, I can think of a few problems. First of all, it's entirely possible that the ability of Bronzongs to do this is one way. Attempting to do so would just make the situation worse if that's the case.

Secondly, if we can do this, what would be the effects on the local climate? We might mitigate the storm now only to cause a crippling drought later on.

And let's not forget how many Pokemon we'll actually need to make a significant dent even if we can solve the other two problems.

Bottom line, I'd think this is something we should run by the experts. If we could get in contact with one or preferably more than one of those Professors, that would help.