Recoil is not that bad until you start shooting 220g or larger bullets. Shooting this prone can make the shoulder hurt.
I had the Sako model in 30-378, it had the same free bore. Ultramags have the free bore also. I recently did some custom loading for a fellow and his Weatherby mark V 30-378 shot 3/4" at 200yrds (bone stock) with not much load development. I personally have no problem w/ free bore.
When I had mine re-barreled to 30-338lap imp, I had a Limb Saver recoil pad installed. Took a lot of the pain out of the recoil. I have not shot the bigger pills since the re-chamber, so I can't answer for how they feel with the good pad. Get a shoulder pad for at the bench, and you will be fine. You'll never feel it in a hunting situation.
Go get one, hand load a quality bullet built for penetration, and go get your griz.