I would imagine the Barnes bullets are bit longer than the Noslers, and if your rifle has a short throat, they might be getting jammed into the rifling.
Have you checked your chamber depth? For every different brand of bullet I reload, I like to know how deep to seat the bullet to where it just touches the rifling then I can seat deeper from there to get the jump I want.
If you can get your hands on an OAL gauge, that is the easiest way to check, otherwise do the following:
Take a fired casing (not sized - no primer) and just barely dent one side of the case mouth to where a bullet will stay put but can still be moved with a little force. Insert the bullet into the case mouth just enough to hold it, blacken the bullet from the case to the top of the bullet with a Sharpie, carefully insert the round into the chamber, slowly close and then open the bolt.
The dented case should leave a scratch on the bullet. Reseat the bullet to where the scratch stops and measure the round. That should be your cartridge overall length to the rifling for that bullet. I would try it 4-5 times to get a consistent measurement.
I shoot TSX's in 2 rifles and they like a pretty good jump. Reloads for both rifles are seated with a 0.100'' jump to the rifling, both with good groups and velocity.