Renegades too if I recall correctly.I need to consult my catalogue pile to be certain but I'm thinking TC did offer a Hawken with a RB barrel as a target/competition rifle as a production offering for a time or from time to time. If that barrel came from the Fox Ridge shop it will have Fox Ridge Custom roll stamped on it.
Look at the custom order stuff if you want a Rice barrel. Still make em to order in several calibers and rifling offerings. So far as I know percussion only and they come in the white.A round ball barrel in .50 caliber for a Thompson Center. What model?
Green Mountain used to offer drop ins and these are likely to most common. They haven't offered them for a number of years as I understand it. I've seen folks mention Rice but I saw nothing in stock last I looked. The T/C custom shop, FOX River I believe, used to sell round ball barrels. If you find a good used T/C Pennsylvania Hunter they came from the factory with a round ball barrel.
Price, I just sold a mint Green Mountain LRH, not for round ball, for $300. I could have asked $400 but I sold it to a friend. Condition is everything, a really good one easily $300 - $400 would be my bet. I also have a Green Mountain round ball barrel I would not sell.
If you can live with a single trigger model the PA Hunter, complete rifle, might be a cost effective option. I've got a PA Hunter Carbine and love it.
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