Some, but not all reloading manuals, keep pressures on the low and safe side. Most will mention what pressure range they used as max.
I'm a fan of the 8x57 and have a Husqvarna FN98 that I load for. First, you'll find that the lower pressure loads will be accurate, but depending on the game you are harvesting and the distance, you will need a bit more velocity. Rather than guessing, I'd suggest using a chronograph.
Depending on the brand of brass you have, loads may have to be toned down to have any case life at all. My latest cases are R - P and they seem to tolerate normal (30-06) pressures fairly well.
Bullet selection should be your first quest. Mine was more of a project, so I choose a Speer 150 HCSP as my deer bullet, a 175 Sierra as an al around, and was leaning towards a 200 gr as my heavy dangerous game bullet.
Hodgdon has some decent data, with max pressures in the 50,000 CUP range. There are lots of suitable powders, and my choice was CFE 223 for the 150's and my load was 57 gr for a bit over 2900 fps.
When I went to heavier 175 gr bullets I used Varget, a pretty stable powder that likes to run with a almost full case of powder in the 308, and seems to be the same in the 8x57.
My rifle has a nice throat, not long, not shot out, and therefore I was able to seat my bullets completely in the neck and still achieve the accuracy and stay at normal pressures. Not all 8x57 throats are the same, some require a bit longer OAL and more powder to achieve optimum velocity.
https://www.ballisticstudies.com/Knowledgebase/8x57JS+Mauser.html
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