I simply opened a can of refrigerated cinnamon rolls and smashed a roll flat in my hand. Then, I wrapped it around the Stuff 'em stick. Make sure to stick the layers of the spiral roll together!
This is a set found on Amazon. They are called Cobbler Sticks! They have a telescoping handle, which would make storing them easy. You could still engrave them with a wood burner either on the roasting knob or the handle.
I found these on Etsy on GurneyBoysMFG. They have a longer knob and are called GBsticks. A bundle of 4 is $35 right now. Of course, you can still brand them yourself.