A few years back I had a 7wsm built for my elk / precision / long range shooting gun. I shot it a few times before I got my suppressor, but the intention was to never take it off once I got it. It kicked very similarly to my dad's 7mag, and considerably more than my BIL's tikka t3 lite 243. With the suppressor on my gun, it kicks less than the 243.
Like said above, once you hunt with one, you wont want to go back to non suppressed. I'd also recommend doing like JG said...go with a short action round and suppress it. It'll be even sweeter to shoot. At the end of the 2017-2018 hunting season, I picked up a 6.5cm (just because I was on a mission to buy a gun that day and couldn't find a 7-08 locally in stock) and chopped the barrel down and threaded it. With my silencerco Harvester attached, it's only about an inch longer than my Remington 700 bdl 30-06, but its quiet and doesn't kick.
Just my experience.
I'm already looking at getting my second one for when my oldest boy gets old enough to shoot. I'm looking pretty hard at the Thunderbeast Ultra 7. Pitchfork recommended the ultra 9 above, which is also a great suppressor and is quieter than the 7. I hunt, so I want something a little shorter. They also make the Ultra 5 which is only 5", but I've heard the best bang for your buck (at least in the Thunderbeast line-up) is the Ultra 7. Medium length, medium suppression, but still accurate.