Talking cartridges, the .350 will do what you need done, and do it well, with a minimum of fuss. Ammo selection has exploded in the last few years, and you can find whatever style bullet you want from the boutique ammo companies, or you can just use the "normal" factory ammo companies.
The platform though..... the Ruger American rifles can and will shoot, but they are my absolute LAST choice unless they are the ONLY option available. I just don't care for them, after having a few in .223 and 7.62x39.
I bought a Winchester XPR Compact in .350 with 20" barrel earlier this year (I might hunt Ohio) and I will say that it's the most underrated rifle on the market. Mine will shoot just about everything under an inch, and it's produced enough one hole 3 shot groups to keep things interesting. I do wish the trigger would adjust down lower, around 3.5lbs is as low as mine will go, but it is the glass rod on the break, no creep or overtravel. I like it well enough that it'll probably be my primary deer rifle this year if I'm in places with max 200 yd shots (even in KY), even though I've got a custom .308 hunting rifle.
I don't know that I'd personally pick a Tikka over the XPR (gasp! I know RS is Tikka worship central) unless they were the same price. I don't like ultra short barrels on any rifle, so that would also come into play.
My order of preference:
Winchester XPR/Tikka
Savage 110
Remington 783
Savage Axis
Any other available bolt action in .350
Ruger American (I just don't like them, and I honestly thought I would LOVE them when they came out on the market).
I'd stop rifle hunting before using another CVA product (bad experience with warranty) so the Cascade isn't an option for me in any caliber.
The 45/70 is undoubtably a killer (on both ends) but unless you've just got a hankering for the Marlin or any other lever action, it's really over kill. It'll be interesting to see how the .360 Buckhammer progresses. I don't think it will EVER catch up the .350 Legend in popularity or accessibility.