I use range / cleaning rods that have a 2" ball on one end...whenever I start using a new brush it's so tight I worry it'll get caught down bore, but with the "power" I'm able to get on the ball handle, I just rotate the ramrod and it causes the bristles to start curving just enough to lose their straightout grip on the bore and it slides back up no problem.
(T-Handle would work just as well)