I've flown with computers and large duplicators and screens often, but only on CO, and I do it often. I've done screens as well. Never a problem. I've taken them in boxes, in carry on, and just as they are. I have had them wrapped in Plastic and taped up by the check in folks for carry on as they asked if I wanted it more protected and I said sure. I've put them overhead and in the coat closet, never a problem. I've not had a problem with the airline, TSA, or anyone. I've gone through the islands, GUM, HNL, IAH, and such with them.
In fact next week, I'm flying back from the mainland to the islands with a computer system, a five bay duplicator, and a screen.