I have the wand tip from the store in my TC thrower. There is a little wiggle room in the aluminum pipe, so I have one layer of electrical tape wrapped around the base of the tip which holds it in snuggly. You could epoxy/glue it for a permanent fit.
Also if the one in the shop is a little loose in the Throwing Chicken wand you might be able make some sort of adapter or sleeve so it can slide in and out or attached to a pop mechanism.