I have some pretty specific experience with what you're asking... but, I think stock design and the load you're shooting will wildly vary the felt recoil and muddy the answers you're going to get on this.
I have a 8lb 12oz 300 WSM scoped, right in the middle of what you are talking about. I run all of my guns suppressed and with a break depending on what I am doing and the recoil is different when I switch, but I will speak pretty generally to shooting with a 2-3 port break since you didnt ask about suppressed.
My 300 WSM is snappy, but I am running a pretty hot load with 200g bullets. When I shot it with 180g Nosler factory stuff it was way more mild. So the round has some versatility to load it down, or shoot softer factory stuff and be pretty manageable. Stock design will play a big role like I noted above - you looking at factory or custom build?
As far as the recoil comparison its gonna kick more the 6.5's or some milder 7's. I have a 6.5-284 with a pretty mild load and its softer shooting, and my 6.5 creed is way softer.
If you want to shoot a 30 cal, a 300wsm with a 165-180gr bullet is probably as soft as a 30 will be. If you are worried about the recoil as a top priority then maybe you look at stepping back from a 30 cal and look at a 7mm or a fast 6.5 and shoot heavier bullets. You can shoot 180 class or the 168-175gr bullets in 7mm's, so it may benefit you to step back to that caliber if you're worried about the recoil. without losing a lot to a 30 depending on what your hunting and how far you're shooting. Not what you asked about, but something to think about if you haven't...
With that said I love my 300wsm, but I built mine for a 30 cal with a shorter barrel, shorter action, thus a more packable and carry freindly 30 cal in mind. I wasn't even thinking about recoil.