Schooner, welcome to the forum. Am I correct in reading that your question concerns aftermarket barrels as upgrades for the one on your TD? If so, there are very few options available. The TD barrel attaches to the receiver in a completely different way from the standard 10/22 barrel.
Here is an article about the Takedown that reviews the available barrel options and provides links to the makers:
Thoughts on the Takedown Model
Considering the cost of the complete barrels, having Connecticut Precision Chambering modify your Ruger barrel is the most cost-effective way to improve its accuracy. But frankly, if tack-driving accuracy is your priority, the TD is the wrong rifle.