I can see 2 problems using ball valves right away.
Problem 1 is cost even though there are plastic ball valves available.
Problem 2 is size. A standard sized ball valve for 3 inch pipe is going to take up a lot more space. Even with a standard 3 inch valve you will loose a lot of the high flow you need in order to get a good dumping of the tank. The waterway through a 3 inch ball could be as small as 2 inches. You can get 3 inch ball valves with a larger 3 inch waterway but they are going to be even larger because the ball will be larger but they aren't standard and therefore back to problem 1.
I don't see how they gunk up since the seats on both sides wipe the ball clean as it turns and stuff can't get around the seat and ball since there isn't a cavity that it can get into. I guess if you're eating your peanuts and sunflower seeds shell and all stuff could get lodged between the ball opening and seats hindering the valve from fully closing leaving a trickle but that can happen with the knife valve as well.