For most people, they fail right where you are explainimg where you fail. To correct this you need to be able to speed through that point. For most, the bench starts to slow down about at the where you would start the floor press. Try it without any weight and id guess you would be at least near where you fail.
So the floor press, you start at your sticking point. The correct way is to ease into position (you don't want to slay your elbow down - think bounce - because you can dislocate you elbow). Pause a second to lose the stretch reflex. You still have to stay tight. You then work on exploding up. All about speed...
To address your range of motion concern, note that this is all about building a bigger bench. It is an auxilliary lift, not primary. Is it best for overall strength and muscle building... absolutely not. Can it help you with a bigger bench... yes. Make sense?
So the floor press, you start at your sticking point. The correct way is to ease into position (you don't want to slay your elbow down - think bounce - because you can dislocate you elbow). Pause a second to lose the stretch reflex. You still have to stay tight. You then work on exploding up. All about speed...
To address your range of motion concern, note that this is all about building a bigger bench. It is an auxilliary lift, not primary. Is it best for overall strength and muscle building... absolutely not. Can it help you with a bigger bench... yes. Make sense?