I'm always shocked to hear of CZs needing work and not being quite there. Must be the ones sold stateside. I will concede that probably due to large customer base in the States, CZ has done a lot of things to cater to American buyers. With trying to satisfy huge customer base maybe their QA is slipping a bit, I also do not like the newer cheap rear sights ala Remington style, or the plastic bits on some models, or the new safety, or anything that makes production faster but results in less durable product. Anyway...
I have had the Sako 85 Kodiak in 375 H&H. Sure the action was smooth and the metal finish impeccable. But the CRF was anything but, it would not feed flat-nose bullets very well and mainly, the model 85 ejector would kick the empty cases back into the receiver area if you had a scope on. For the $2100+ it cost it was a failure in my book. I modified the feeding ramp to feed all ammo very well and I took the scope off to make it reliable. But then it kicked so much for a .375 that I just traded it in on a CZ.
Never had a Win mod. 70 but the new models have a new trigger that IMO is not nearly as simple and good as the old one.
The CZs always worked for me, reliable, accurate and smooth enough from the box (Zastavas seem rougher), becoming really slick with use. Just like any Mauser-style action rifle. They also come up to the shoulder very well and don't seem to kick as much. In the .375 I too feel they are a bit bulky and heavy for the caliber (Ruger RSM is even worse) and the 25" barrel a bit long. CZ also need medium rings because of the bolt handle. Does not seem to be a problem for me but I know some would like the scope even lower.
So I'd say just get the CZ or the M70 and don't worry about the rest.