Nola gets knuckle bones and femur bones in the house, outside, at the bar, etc. This means at least 2-3 hours of quiet time for the b/f and I. Our rule of thumb is the knuckle bone or femur bones must be 1/2 the size or length of his head. He has some femur bones lying around from a couple weeks ago. He cleaned them out in one sitting but still gnaws on them from time to time. I cannot answer about aggression since we only have one dog and the b/f doesn't eat red meat so they don't fight over it.
If you dog has chewed through a Kong, he will definitely be able to chew through a Jolly Ball. Nola was able to get the handle partly off within 1/2 hour. I used a knife to completely remove the handle and the toy was good for one more day but under supervision. I am trying to locate a jolly ball without the handle because the pup really liked it. I plan to stop at the pet store tonight to try the Tire Ball. I think if a tire can last 40,000 miles it should be able to last at least a week with the beast.
Good luck