I also have two Rossi '92's in 357mag, a 20" carbine and a 24" rifle as well as two Uberti's, a '73, 24" rifle and a '66, 19" Yellowboy carbine in 45 Colt. All four a blast to shoot as I handload for all of them. For what you describe, the 357mag Rossi is what you want as you can handload it down to 90grn, 700fps mouse fart plinking loads 100grn, 125grn, and up to heavy loaded Buffalo Bore 357mag Heavy 158grn 2,153fps medium game loads.
For medium sized deer at ranges under 100yds, the Rossi is adequate as it produces bottom end 30-30 power at the shorter ranges. The action is strong enough to load them to original 357mag levels (40,000psi) as well as Ruger only 45 Colt levels as the rifle is also chambered in the 60,000psi 454 Casull, however, with it's light weight, it will kick like a mule with heavy 45 Colt loads. Even full power 357mag loads are lightly recoiling and ammo is plentiful for them.
They are great rifles. I've had mine since 2009 and each has well over 4K rds through them with no issues. I got Steve's Gun's $58 action and trigger kit with the DvD that shows you how to slick up your rifle and have done the work on three so far (my two and a friend's). It's easy to follow his DvD and you end up with a great shooting rifle (or two).