Nechako Outdoors has a used Marlin lever action in 375 Win with a shortish barrel. $875. I want it.
I've only had my .375Win since last spring, and I only had it out for the first day of deer hunting where I knew the shots were going to be close-ish. My favorite gun to carry by far! Something about those light, fast-handling lever guns. Ammo can be a pain in the arse to find, casting is the way to go if you want to shoot a lot. I recently acquired a Lyman 264gr FN gas-checked mold, with the goal being powder coating the boolits and driving them over 1900fps. I'd start casting right now, incredibly bored at the moment, but it's just too dang cold out to do anything but post on GunNutz.
Suther, if the shots are within 200y and you want a light-weight, easy-recoiling, sort-of-big-and-slow rifle that isn't that slow (200gr approaching 2400fps), and you don't mind reloading for a cartridge that's really hard to source components for, then my vote goes to the .375win!
If however you want a rifle that covers most bases for all animals, and you're willing to sacrifice some weight for some recoil or vice versa, then my vote goes to the .338-06! Make brass from cheap .30-06 or .35whelan, could probably even make some from your .270win brass if you were in a bind. Lots of bullet choices, 210gr-225gr is the sweet spot for this caliber. 250gr bullets are still moving along at around 2400+fps. My personal load is a 210gr Partition going ~2700fps, and over the last three years has accounted for three deer with three shots, all I'd say had optimal results. Now back to the trade-off, you can't fight physics, and there is going to be a bit of recoil if the rifle is a lightweight. Mine weighs in at 9lb6oz empty without a sling. The recoil is quite tame, if it was a 7lb rifle, I can imagine it'd be a different story.
I did go the 9.3x57 Husky route from TradeEx as well, and have shot but do not own a 45/70 and 35rem. I stand by my above statement.