"charged with doing" is correct and usable in written English.
You would use this phrase when someone has been assigned the task of completing something and is accountable for the results. For example, "John was charged with doing the dishes after dinner."
What he is charged with doing doesn't look good from any angle.
It says that the Swift Boat group is a front for George Bush's campaign, charged with doing its "dirty work".
A disconnect between Whitehall policymakers and the poor devils charged with doing their bidding invariably makes matters worse.
But Harris says he has already accomplished much of what he was charged with doing in Benton Harbor.
Little circles in the box represented its "contract originators," the gunslingers charged with doing deals and creating new businesses.
The same general advice applies to those charged with doing the firings, namely, keep things short and calm.
The funny thing, though, is that the actual mission he's been charged with doesn't seem to be doing what Hamilton did.
Notably, in looking at these charges, it becomes very clear, very quickly, that the defendant was not charged with specifically doing what he actually did -- which is sharing explicit images without the consent of the person in the images.
The showdown between St . Louis Countyand the two reporters who were charged with essentially doing their jobs in Ferguson, Missouri, last August began quietly enough on Monday.
Britain charged France with doing little to prevent asylum seekers from trying to cross the Channel.
That is precisely what Harper and his fellow agents have charged Allstate with doing.
