I have no experience with the 444 or .450 but I do have a .35 Remington and a 45.70.
I really like the .35 for deer in the thick stuff. With hunting cloths on I feel very little recoil, and my Marlin 336 is a little lighter and just feels better to carry than the 1895 in 45.70.
That said, I'm not ready to sell the 45.70 and it's also a great old round that has versatility unmatched by most calibers. The standard 405 grain Remington loads are not to bad, but considerably more than the .35.
The cowboy loads are mild and some people use them for deer.
For deer hunting, in my opinion, the 300 grain remington load at 1800 is hard to beat, but it does up the recoil.
When you get into the PMC 350 grain HA or +p+ or the garretts and beartooth loads recoil can be severe.
I haven't hand loaded the 45.70 yet, but with hand loads a fellow could get about anywhere he wanted to be with the 45.70
There has been much debate on using the marlin 1895 in 45.70 for dangerous game such as Grizzle Bear in Alaska, but I would consider the 45.70 with the right loads at close range plenty for anything in North America.
In a hunting situation your unlikey to notice the recoil. If your going to run a box or 2 through the 45.70 at the range then you will notice the recoil if your shooting more than cowboy loads. I put a limbsaver recoil pad on my 1895 and to me, this made a huge difference in felt recoil.