21" 6.5x47L here shooting a pointed 107gr SMK at ~3000fps. Rifle weight (important for felt recoil) 13lbs. No brake, no can.
Recoil feels like my bigger heavier 26" 6.5x47L (16lbs) shooting the heavier 130gr bullet at 2925fps, which is very manageable and easy to stay on 300+yd targets (will not stay on at 100-200). Muzzle blast isn't bad (use a fast powder that will burn itself in the barrel) nor is noise level. I don't think, for most shooters and with the correct powder, recoil, muzzle blast or noise is a major concern for the medium 6.5mm cartridges with a 20"-22" barrel. They might be with less than 20" barrels, I just don't have any experience there.
Why do you think the 6.5x47 is expensive to load for? The brass lasts a LONG LONG time, longer than your barrel, so as long as you keep the pieces, its not expensive. I guess if you shoot the "lose your brass matches", it is expensive.