I load for my .300 Weatherby MkV. I've only used Remington and Weatherby factory cases. In my rifle you have to reduce the loads in the Rem brass. The Weatherby brass has more case volume.
Here's one example using 150 grain Hornady SP's, popular powder for Weatherby's, with Fed 215 primers.
Powder at 87.6 grains--Weatherby case---3343-3357 fps
same Powder at 85.4 grains---Remington case-------3293-3309 fps
So with my powder and rifle a 2.2 grain reduction using Rem brass nearly gets the same velocity as the 87.6 grain load in Weatherby brass.
Also, your Remington 700 may not have as much freebore as a Weatherby MkV and that could raise pressure too. Don't know about Remingtons chambers in .300 Wby?
When I 1st started loading my Wby. I full-length sized with firm contact with the die and shellholder. This pushed the shoulder back more than necessary which lets the case expand forward upon firing and the belted magnum case stretches just in front of the belt. By full-length sizing and pushing the shoulder back every firing, I could only get 3 loadings before there was a stretch mark inside the case and by loading it 4 times the brass looked unsafe to load again. By adjusting the full-length sizing die to only push the shoulder back from fired dimensions by about .002" will stop the brass from stretching so much just ahead of the belt. You need a tool to measure the amount of shoulder set back such as Hornady's Headspace Gauge set or some way to set your dies not to push the shoulder back when sizing. His once fired brass may have already stretched a lot? Use the bent wire feeler method to feel for the stretch mark thats just in front of the belt on the inside of the case wall. Don't load any cases with a deep stretch ring. Also, again, don't use data developed in Weatherby brass in RP or other brands without reducing and working up.