The best brush gun would be a lever or pump action Remington. I really like my 1886 Winchester in 45-70 with a heavy cast bullet and open sights. But that rig is probably not the best.
The best Brush gun is a Remington Carbine pump rifle in 30-06. It has an 18 1/2 barrel. The best scope choice is a low variable. No higher than a 3X9. A 1-1/2 X 5 Zeiss is a great choice.
Bullet choice would be a 165 grain Sierra Gameking. Sight the rifle dead on at 75 yards. this rig will be on a rope out to 75 yards, so you can pick your hole. And then shoot through that hole. 270's are for sissy's. Go with the 30-06.




Tom.
Remington also made that rifle in a 308 Winchester Those are the only two cartridges that I know of that they ever made the carbine in.