You've already decided on the 357 mag, and I agree with that choice. As for 200 yards; even the 30-30 is pushing it at those distances. At the normal 100-125 yards, both the 30-30 and the 357 will do fine. The 30-30 is obviously better, but for hunting deer size animals, they both will do fine.
I like the 357 magnum, because it can also shoot 38 specials. And for plinking, which isn't going to be as accurate as with 357 magnums, you can buy 38spl ammo for around $14 a box of 50. Much cheaper to shoot. 357 mag can be bought for around $17 a box. (Cheaper if bought in bulk). Plus, the 30-30 is a great large game animal, but you really can't shoot too much small game with it. I can shoot a rabbit with a 38spl. Also better for home defense if needed with the 357 magnum.
As for the model; I really like the Marlin 1894c in 357 magnum. However, I too am left handed. While it's nice to have angle eject, it isn't always kind to a lefty. It's a hit or miss on whether you get hit or not with an empty case. I personally chose the Rossi M92 in 357 magnum. However; I really like the cowboy action style, so I got the 24" stainless steel octagon barrel. Definitely a little heavier, but more accurate and fun. Takes a little breaking in, but once you do, they are some of the sweetest shooting rifles out there. It is top-ejecting, so it's not a big issue for most lefties. Being it's top ejecting, a traditional scope isn't really an option. However, for 357 magnum, and 100 yards, a scope isn't really an option most owners would choose. However, if you really wanted a scope, the rear sight can be replaced with an optics. You can get an 18" round barrel rossi, for just shy of $400. If you buy locally, it will be closer to $450. If you want the stainless steel and 24" octagon barrel, it will cost about $450 online, and around $500-$525 locally. Some of the novelty, like 16" barrel will be close to $600.
As for trying to find one used........ Good Luck. Between the popularity of cowboy action shooting, and the practical advantage of having a 357 magnum rifle; especially if you have a 357 magnum revolver; finding a used one is almost impossible. There always seems to be plenty of 44 magnum versions of lever actions around, but I personally think that it's a waste. 44 magnum / 44 special ammo is way too expensive. The cheapest ammo is around $30, and that's through bulk mailorder. Locally it's more. Yes, the 240 grain bullet and extra power is better on deer than a 357 magnum, but then you might as well just get the 30-30. More common; better made rifle caliber; cheaper ammo; better round. Then again, I've never been a fan of the 44 special or 44 magnum. It's too big for some things and not big enough for others. The 357 magnum might not be as powerful, but it's powerful enough for the coyote, deer, etc... and soft enough for small game and plinking.