A few years back I was looking for this exact thing. I ended up on the .257 bandwagon. I built a converted disco with a TJ’s 1:14 liner to start but the shot count was low and was single load. I then moved into converting a Winchester 70-35 to the .257 caliber. This was and is much better, after modifying the magazines for the smaller cal. I’m able to fit the 257420 bullets. I get one full mag of 7 shots on a 230bar fill on high power 150 fpe and two full mags when tuned down to 120 fpe.
I’ve come to the conclusion that the .257 is about as close as we air gunners are going to get to the perfect balance of power and BC . If I were to go down this road again, I’d now start with a bulldog ( weren’t available at the time) tune it for the 257420 bullets and be happy.