I've never pulled out a dry ball even though I've dry balled.
I've always been able to dribble come powder under the nipple to fire it out.
Loading with 3F powder makes it easier to get the powder into tight places like under the nipple, and helps to avoid ignition problems.
Even most flintlock shooters can usually coax enough powder into the vent hole to fire it out.
There are also CO2 dischargers that can expel a ball.
I would think that the longer the barrel, the more difficult it would be to pull a ball using a screw because the nature of rods are that they are a little wobbly anyway.
What type of ignition do you have, percussion or flint?
Does it have a round drum or a snail, which brand and caliber is it?
Was your barrel length measurement taken from inside the bore or just from the outside of the barrel?
When you put your ramrod in how deep does it go?
It's good to be prepared to pull a ball and to have the attachment, but I wouldn't want to need to do it.
The only real difference between ball pullers that I've ever heard of is if the screw's threads are too fine and not coarse enough.
I believe that fine threads make it easier for the screw to pull out of the ball due to not having enough bite.
I think that the TC ball puller would work fine, and I see that the Traditions and other pullers are pretty much the same as the TC.
The TC is caliber specific for .45 & .50, but the main reason for recommending it is due to its numerous good reviews on Amazon. --->>>
https://www.amazon.com/Thompson-Center-Caliber-Bullet-Puller/dp/B000LC5N90
Which kind of ramrod works best with a ball puller may not make the best rod for ramming balls, but it could work out just fine for both purposes.
A one piece steel ramrod would probably be the best for pulling balls, and not one with a brass end that the screw attachment would be pulled out of
It should also have a handle that can be pulled on.
But a steel ramrod should definitely always be used with a muzzle guard or protector, a device that protects the muzzle crown from damage.
Otherwise under normal circumstances I'd buy a thick wooden dowel at the home improvement store to use for ramming balls.
Put a handle on it and make sure it has straight grain and is extra thick but still fits in the bore.
Here's a 36 inch steel ramrod that's long enough to use with your barrel but the steel rod may be harder to grasp in the middle of the rod.--->>>
https://www.trackofthewolf.com/Categories/PartDetail.aspx/33/1/RAMROD-C-36-10
I don't know if the 36 inch length includes the handle or not.
It may be longer than you need or like depending on your height and arm reach.
Perhaps you can ask them for more details before buying.
Personally, I wouldn't worry about buying a special ramrod for pulling a ball but you asked for the information.
Which rod to buy is very subjective, especially with a longer barrel.
Depending on the exact length of your bore, this Knight aluminum ramrod may also work but doesn't come with a muzzle protector. --->>>
https://www.muzzleloaders.com/product/standard-muzzleloader-range-rod/
The rods with a rotating handle won't allow for it to be used to easily screw into the ball.
Welcome to THR!
Good luck and let us know how it works out.