hh4046,
Since this is a silhouette board I'll assume you want to try BPCR Silhouette. I'll cut to the chase, don't waste you time, money and effort on putting a BPCR barrel on an Encore action. It would be a complete waste as there are no sights that you could put on an Encore that will allow you to have a change to hit the animals. You need a decent quality Soule rear sight to make it work with an appropriate front sight. That means the action needs a tang that is drilled and tapped for a custom sight base to fit the Soule sight on.
If you want to try BPCR Silhouette see if you can get one of the shooters at your local match to let you shoot their rifle for a match to see if you are willing to make the commitment to learn how to cast bullets and load for BPCR matches. If you are serious enough you can purchase a used Pedersoli 45-70 in a Sharps or Rolling Block with sights for under $1000. I've seen them as cheap as $600 in excellent shape.