The current production Zastava rifles that I've seen have all had very poor checkering, little more than shallow lines scratched into the wood, so I would probably avoid them unless the price was too low to pass on. When quality control is almost non-existent on one part of a unit, I have to wonder what other short cuts were taken during the production process.
I own several push-feed Winchester 70 and think that they are well made, well finished, rifles that exhibit fine quality control, so given those 2 choices, my choice would be the Winchester.
I currently have 9 rifles chambered in 7x57 and 14 chambered in 308, so I don't have any particular cartridge bias one way or the other. That said, my "if I ever get to Africa again" rifles are a matched pair of Interarms Mark X mannlichers in 7x57 and 9.3x62, so maybe I am a wee bit biased toward the 7x57 if it is chambered in the right rifle for me and my intended uses.
