Don't have Beman shafts, but do use HIT inserts in Easton Axis shafts. Shouldn't have a problem getting the threads started. Did you use the installation tool? The inserts could be imbedded too far. Or, there may be a little excess glue on the inside of the shaft. Sometimes, the point thread just doesn't match up with the insert initially. If you turn the point counterclockwise, you'll feel it seat in the insert. Then turn it clockwise and the threads will catch so you can screw it all the way.
A hard hit on an immovable object will sometimes mushroom the end of the shaft a little. Most times, my arrows just bounce off of trees or concrete wall, but the ends have mushroomed a bit on occasion, about 1/8-inch. This is with hot melt glue. Probably would be even less likely if the inserts were epoxied in. Regardless, I don't worry about a little mushrooming.
Other than what BBJ said, I don't think there's any other advantage to the HIT inserts other than perhaps yielding a cleaner look.