As already stated, and for most of what I've read, loading data always said that the "R" version would require a reduction in powder. Mostly because the break action single shot rifles were a bit weaker than their bolt action counterparts. The Brno doesn't strike me as being particularity weak.
This is from an old Hornady manual, the newer ones still say the same thing.
I load for the 7x57, and as my son shoots a Ruger #1I, it gets a full load.
I'd seriously consider the Hornady ELD-X in 162 gr. BC is 0.630 which means it doesn't have a parachute on it's butt.
I'm a fan of cast bullets, and the 7x57R should be a cast bullet king.
You didn't state the make of the bullets you have, that is whose data I'd look at first.
4350, perhaps 4895, or maybe Varget would be where I'd start, if I didn't load cast.
Nitro